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Finding the Fourth Proportional to 67,142.59, 100,713.88 and 31,581.80

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Solution

The fourth proportional to 67,142.59, 100,713.88 and 31,581.80 is: 47,372.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,142.59 : 100,713.88 = 31,581.80 : x
  2. Step 2: Convert to fraction form
    67,142.59/100,713.88 = 31,581.80/x
  3. Step 3: Cross multiply
    67,142.59x = 100,713.88 × 31,581.80
  4. Step 4: Simplify right side
    67,142.59x = 3,180,725,528.97
  5. Step 5: Solve for x
    x = 3,180,725,528.97/67,142.59
  6. Step 6: Final answer
    x = 47,372.70

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1.5x scale

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.