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Finding the Fourth Proportional to 82,013,208.20, 123,019,812.30 and 82,013,208.20

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Solution

The fourth proportional to 82,013,208.20, 123,019,812.30 and 82,013,208.20 is: 123,019,812.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,013,208.20 : 123,019,812.30 = 82,013,208.20 : x
  2. Step 2: Convert to fraction form
    82,013,208.20/123,019,812.30 = 82,013,208.20/x
  3. Step 3: Cross multiply
    82,013,208.20x = 123,019,812.30 × 82,013,208.20
  4. Step 4: Simplify right side
    82,013,208.20x = 10,089,249,478,884,820
  5. Step 5: Solve for x
    x = 10,089,249,478,884,820/82,013,208.20
  6. Step 6: Final answer
    x = 123,019,812.30

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.