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Finding the Fourth Proportional to 78,125.52, 117,109.92 and 38,711.28

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Solution

The fourth proportional to 78,125.52, 117,109.92 and 38,711.28 is: 58,028.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,125.52 : 117,109.92 = 38,711.28 : x
  2. Step 2: Convert to fraction form
    78,125.52/117,109.92 = 38,711.28/x
  3. Step 3: Cross multiply
    78,125.52x = 117,109.92 × 38,711.28
  4. Step 4: Simplify right side
    78,125.52x = 4,533,474,903.90
  5. Step 5: Solve for x
    x = 4,533,474,903.90/78,125.52
  6. Step 6: Final answer
    x = 58,028.09

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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.