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Finding the Fourth Proportional to 82,509.60, 123,764.40 and 20,180.10

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Solution

The fourth proportional to 82,509.60, 123,764.40 and 20,180.10 is: 30,270.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,509.60 : 123,764.40 = 20,180.10 : x
  2. Step 2: Convert to fraction form
    82,509.60/123,764.40 = 20,180.10/x
  3. Step 3: Cross multiply
    82,509.60x = 123,764.40 × 20,180.10
  4. Step 4: Simplify right side
    82,509.60x = 2,497,577,968.44
  5. Step 5: Solve for x
    x = 2,497,577,968.44/82,509.60
  6. Step 6: Final answer
    x = 30,270.15

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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.