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Finding the Fourth Proportional to 138,486, 207,707.94 and 38,635.68

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Solution

The fourth proportional to 138,486, 207,707.94 and 38,635.68 is: 57,947.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,486 : 207,707.94 = 38,635.68 : x
  2. Step 2: Convert to fraction form
    138,486/207,707.94 = 38,635.68/x
  3. Step 3: Cross multiply
    138,486x = 207,707.94 × 38,635.68
  4. Step 4: Simplify right side
    138,486x = 8,024,937,503.30
  5. Step 5: Solve for x
    x = 8,024,937,503.30/138,486
  6. Step 6: Final answer
    x = 57,947.64

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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.