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Finding the Fourth Proportional to 131,381.70, 181,306.92 and 74,793

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Solution

The fourth proportional to 131,381.70, 181,306.92 and 74,793 is: 103,214.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,381.70 : 181,306.92 = 74,793 : x
  2. Step 2: Convert to fraction form
    131,381.70/181,306.92 = 74,793/x
  3. Step 3: Cross multiply
    131,381.70x = 181,306.92 × 74,793
  4. Step 4: Simplify right side
    131,381.70x = 13,560,488,467.56
  5. Step 5: Solve for x
    x = 13,560,488,467.56/131,381.70
  6. Step 6: Final answer
    x = 103,214.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.