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Finding the Fourth Proportional to 82,839.40, 124,259.10 and 82,839.40

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Solution

The fourth proportional to 82,839.40, 124,259.10 and 82,839.40 is: 124,259.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,839.40 : 124,259.10 = 82,839.40 : x
  2. Step 2: Convert to fraction form
    82,839.40/124,259.10 = 82,839.40/x
  3. Step 3: Cross multiply
    82,839.40x = 124,259.10 × 82,839.40
  4. Step 4: Simplify right side
    82,839.40x = 10,293,549,288.54
  5. Step 5: Solve for x
    x = 10,293,549,288.54/82,839.40
  6. Step 6: Final answer
    x = 124,259.10

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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.