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Finding the Fourth Proportional to 138,707.35, 208,061.91 and 45,213.10

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Solution

The fourth proportional to 138,707.35, 208,061.91 and 45,213.10 is: 67,819.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,707.35 : 208,061.91 = 45,213.10 : x
  2. Step 2: Convert to fraction form
    138,707.35/208,061.91 = 45,213.10/x
  3. Step 3: Cross multiply
    138,707.35x = 208,061.91 × 45,213.10
  4. Step 4: Simplify right side
    138,707.35x = 9,407,123,422.87
  5. Step 5: Solve for x
    x = 9,407,123,422.87/138,707.35
  6. Step 6: Final answer
    x = 67,819.94

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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.