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Finding the Fourth Proportional to 185,330, 255,753.96 and 100,444.88

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Solution

The fourth proportional to 185,330, 255,753.96 and 100,444.88 is: 138,613.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,330 : 255,753.96 = 100,444.88 : x
  2. Step 2: Convert to fraction form
    185,330/255,753.96 = 100,444.88/x
  3. Step 3: Cross multiply
    185,330x = 255,753.96 × 100,444.88
  4. Step 4: Simplify right side
    185,330x = 25,689,175,821.72
  5. Step 5: Solve for x
    x = 25,689,175,821.72/185,330
  6. Step 6: Final answer
    x = 138,613.15

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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.