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Finding the Fourth Proportional to 71,742.40, 107,581.20 and 32,279.20

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Solution

The fourth proportional to 71,742.40, 107,581.20 and 32,279.20 is: 48,404.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,742.40 : 107,581.20 = 32,279.20 : x
  2. Step 2: Convert to fraction form
    71,742.40/107,581.20 = 32,279.20/x
  3. Step 3: Cross multiply
    71,742.40x = 107,581.20 × 32,279.20
  4. Step 4: Simplify right side
    71,742.40x = 3,472,635,071.04
  5. Step 5: Solve for x
    x = 3,472,635,071.04/71,742.40
  6. Step 6: Final answer
    x = 48,404.22

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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.