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Finding the Fourth Proportional to 78,419.52, 117,616.92 and 65,177.54

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Solution

The fourth proportional to 78,419.52, 117,616.92 and 65,177.54 is: 97,756.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,419.52 : 117,616.92 = 65,177.54 : x
  2. Step 2: Convert to fraction form
    78,419.52/117,616.92 = 65,177.54/x
  3. Step 3: Cross multiply
    78,419.52x = 117,616.92 × 65,177.54
  4. Step 4: Simplify right side
    78,419.52x = 7,665,981,507.98
  5. Step 5: Solve for x
    x = 7,665,981,507.98/78,419.52
  6. Step 6: Final answer
    x = 97,756.04

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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.