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Finding the Fourth Proportional to 138,753.61, 191,479.97 and 75,091.40

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Solution

The fourth proportional to 138,753.61, 191,479.97 and 75,091.40 is: 103,626.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,753.61 : 191,479.97 = 75,091.40 : x
  2. Step 2: Convert to fraction form
    138,753.61/191,479.97 = 75,091.40/x
  3. Step 3: Cross multiply
    138,753.61x = 191,479.97 × 75,091.40
  4. Step 4: Simplify right side
    138,753.61x = 14,378,499,685.69
  5. Step 5: Solve for x
    x = 14,378,499,685.69/138,753.61
  6. Step 6: Final answer
    x = 103,626.13

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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.