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Finding the Fourth Proportional to 138,471.40, 207,684.06 and 44,965.48

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Solution

The fourth proportional to 138,471.40, 207,684.06 and 44,965.48 is: 67,440.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,471.40 : 207,684.06 = 44,965.48 : x
  2. Step 2: Convert to fraction form
    138,471.40/207,684.06 = 44,965.48/x
  3. Step 3: Cross multiply
    138,471.40x = 207,684.06 × 44,965.48
  4. Step 4: Simplify right side
    138,471.40x = 9,338,613,446.25
  5. Step 5: Solve for x
    x = 9,338,613,446.25/138,471.40
  6. Step 6: Final answer
    x = 67,440.74

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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.