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Finding the Fourth Proportional to 172,894.16, 258,873.60 and 89,613.20

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Solution

The fourth proportional to 172,894.16, 258,873.60 and 89,613.20 is: 134,177.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,894.16 : 258,873.60 = 89,613.20 : x
  2. Step 2: Convert to fraction form
    172,894.16/258,873.60 = 89,613.20/x
  3. Step 3: Cross multiply
    172,894.16x = 258,873.60 × 89,613.20
  4. Step 4: Simplify right side
    172,894.16x = 23,198,491,691.52
  5. Step 5: Solve for x
    x = 23,198,491,691.52/172,894.16
  6. Step 6: Final answer
    x = 134,177.42

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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.