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Finding the Fourth Proportional to 84,471.68, 126,707.48 and 38,874.78

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Solution

The fourth proportional to 84,471.68, 126,707.48 and 38,874.78 is: 58,312.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,471.68 : 126,707.48 = 38,874.78 : x
  2. Step 2: Convert to fraction form
    84,471.68/126,707.48 = 38,874.78/x
  3. Step 3: Cross multiply
    84,471.68x = 126,707.48 × 38,874.78
  4. Step 4: Simplify right side
    84,471.68x = 4,925,725,409.35
  5. Step 5: Solve for x
    x = 4,925,725,409.35/84,471.68
  6. Step 6: Final answer
    x = 58,312.15

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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.