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Finding the Fourth Proportional to 281,175.91, 421,234.22 and 138,854.66

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Solution

The fourth proportional to 281,175.91, 421,234.22 and 138,854.66 is: 208,020.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,175.91 : 421,234.22 = 138,854.66 : x
  2. Step 2: Convert to fraction form
    281,175.91/421,234.22 = 138,854.66/x
  3. Step 3: Cross multiply
    281,175.91x = 421,234.22 × 138,854.66
  4. Step 4: Simplify right side
    281,175.91x = 58,490,332,639.43
  5. Step 5: Solve for x
    x = 58,490,332,639.43/281,175.91
  6. Step 6: Final answer
    x = 208,020.43

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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.