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Finding the Fourth Proportional to 83,397.80, 115,077.92 and 47,585.68

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Solution

The fourth proportional to 83,397.80, 115,077.92 and 47,585.68 is: 65,661.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,397.80 : 115,077.92 = 47,585.68 : x
  2. Step 2: Convert to fraction form
    83,397.80/115,077.92 = 47,585.68/x
  3. Step 3: Cross multiply
    83,397.80x = 115,077.92 × 47,585.68
  4. Step 4: Simplify right side
    83,397.80x = 5,476,060,550.56
  5. Step 5: Solve for x
    x = 5,476,060,550.56/83,397.80
  6. Step 6: Final answer
    x = 65,661.93

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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.