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Finding the Fourth Proportional to 136,885.60, 205,231.20 and 52,613.20

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Solution

The fourth proportional to 136,885.60, 205,231.20 and 52,613.20 is: 78,882.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,885.60 : 205,231.20 = 52,613.20 : x
  2. Step 2: Convert to fraction form
    136,885.60/205,231.20 = 52,613.20/x
  3. Step 3: Cross multiply
    136,885.60x = 205,231.20 × 52,613.20
  4. Step 4: Simplify right side
    136,885.60x = 10,797,870,171.84
  5. Step 5: Solve for x
    x = 10,797,870,171.84/136,885.60
  6. Step 6: Final answer
    x = 78,882.44

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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.