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Finding the Fourth Proportional to 123,762.60, 185,614.17 and 57,138.75

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Solution

The fourth proportional to 123,762.60, 185,614.17 and 57,138.75 is: 85,694.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,762.60 : 185,614.17 = 57,138.75 : x
  2. Step 2: Convert to fraction form
    123,762.60/185,614.17 = 57,138.75/x
  3. Step 3: Cross multiply
    123,762.60x = 185,614.17 × 57,138.75
  4. Step 4: Simplify right side
    123,762.60x = 10,605,761,656.09
  5. Step 5: Solve for x
    x = 10,605,761,656.09/123,762.60
  6. Step 6: Final answer
    x = 85,694.40

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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.