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Finding the Fourth Proportional to 138,951.07, 191,753.16 and 75,288.86

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Solution

The fourth proportional to 138,951.07, 191,753.16 and 75,288.86 is: 103,899.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,951.07 : 191,753.16 = 75,288.86 : x
  2. Step 2: Convert to fraction form
    138,951.07/191,753.16 = 75,288.86/x
  3. Step 3: Cross multiply
    138,951.07x = 191,753.16 × 75,288.86
  4. Step 4: Simplify right side
    138,951.07x = 14,436,876,817.80
  5. Step 5: Solve for x
    x = 14,436,876,817.80/138,951.07
  6. Step 6: Final answer
    x = 103,899.00

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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.