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Finding the Fourth Proportional to 78,487.52, 117,728.61 and 34,114.28

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Solution

The fourth proportional to 78,487.52, 117,728.61 and 34,114.28 is: 51,170.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,487.52 : 117,728.61 = 34,114.28 : x
  2. Step 2: Convert to fraction form
    78,487.52/117,728.61 = 34,114.28/x
  3. Step 3: Cross multiply
    78,487.52x = 117,728.61 × 34,114.28
  4. Step 4: Simplify right side
    78,487.52x = 4,016,226,176.91
  5. Step 5: Solve for x
    x = 4,016,226,176.91/78,487.52
  6. Step 6: Final answer
    x = 51,170.26

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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.