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Finding the Fourth Proportional to 78,177.29, 107,884.65 and 42,367.30

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Solution

The fourth proportional to 78,177.29, 107,884.65 and 42,367.30 is: 58,466.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,177.29 : 107,884.65 = 42,367.30 : x
  2. Step 2: Convert to fraction form
    78,177.29/107,884.65 = 42,367.30/x
  3. Step 3: Cross multiply
    78,177.29x = 107,884.65 × 42,367.30
  4. Step 4: Simplify right side
    78,177.29x = 4,570,781,708.80
  5. Step 5: Solve for x
    x = 4,570,781,708.80/78,177.29
  6. Step 6: Final answer
    x = 58,466.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.