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Finding the Fourth Proportional to 100,045.62, 138,057.80 and 54,714.78

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Solution

The fourth proportional to 100,045.62, 138,057.80 and 54,714.78 is: 75,503.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,045.62 : 138,057.80 = 54,714.78 : x
  2. Step 2: Convert to fraction form
    100,045.62/138,057.80 = 54,714.78/x
  3. Step 3: Cross multiply
    100,045.62x = 138,057.80 × 54,714.78
  4. Step 4: Simplify right side
    100,045.62x = 7,553,801,190.42
  5. Step 5: Solve for x
    x = 7,553,801,190.42/100,045.62
  6. Step 6: Final answer
    x = 75,503.57

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1.5x scale

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.