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Finding the Fourth Proportional to 281,337.10, 421,939.41 and 81,604.78

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Solution

The fourth proportional to 281,337.10, 421,939.41 and 81,604.78 is: 122,387.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,337.10 : 421,939.41 = 81,604.78 : x
  2. Step 2: Convert to fraction form
    281,337.10/421,939.41 = 81,604.78/x
  3. Step 3: Cross multiply
    281,337.10x = 421,939.41 × 81,604.78
  4. Step 4: Simplify right side
    281,337.10x = 34,432,272,726.38
  5. Step 5: Solve for x
    x = 34,432,272,726.38/281,337.10
  6. Step 6: Final answer
    x = 122,387.96

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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.