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Finding the Fourth Proportional to 83,446.28, 115,169.46 and 47,637.80

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Solution

The fourth proportional to 83,446.28, 115,169.46 and 47,637.80 is: 65,747.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,446.28 : 115,169.46 = 47,637.80 : x
  2. Step 2: Convert to fraction form
    83,446.28/115,169.46 = 47,637.80/x
  3. Step 3: Cross multiply
    83,446.28x = 115,169.46 × 47,637.80
  4. Step 4: Simplify right side
    83,446.28x = 5,486,419,701.59
  5. Step 5: Solve for x
    x = 5,486,419,701.59/83,446.28
  6. Step 6: Final answer
    x = 65,747.92

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1.5x scale

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.