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Finding the Fourth Proportional to 102,781.71, 141,877.98 and 66,980.52

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Solution

The fourth proportional to 102,781.71, 141,877.98 and 66,980.52 is: 92,458.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,781.71 : 141,877.98 = 66,980.52 : x
  2. Step 2: Convert to fraction form
    102,781.71/141,877.98 = 66,980.52/x
  3. Step 3: Cross multiply
    102,781.71x = 141,877.98 × 66,980.52
  4. Step 4: Simplify right side
    102,781.71x = 9,503,060,876.95
  5. Step 5: Solve for x
    x = 9,503,060,876.95/102,781.71
  6. Step 6: Final answer
    x = 92,458.68

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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.