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Finding the Fourth Proportional to 224,974.68, 310,543.24 and 129,519.42

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Solution

The fourth proportional to 224,974.68, 310,543.24 and 129,519.42 is: 178,781.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,974.68 : 310,543.24 = 129,519.42 : x
  2. Step 2: Convert to fraction form
    224,974.68/310,543.24 = 129,519.42/x
  3. Step 3: Cross multiply
    224,974.68x = 310,543.24 × 129,519.42
  4. Step 4: Simplify right side
    224,974.68x = 40,221,380,329.72
  5. Step 5: Solve for x
    x = 40,221,380,329.72/224,974.68
  6. Step 6: Final answer
    x = 178,781.81

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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.