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Finding the Fourth Proportional to 100,287.66, 138,398.05 and 54,964.66

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Solution

The fourth proportional to 100,287.66, 138,398.05 and 54,964.66 is: 75,851.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,287.66 : 138,398.05 = 54,964.66 : x
  2. Step 2: Convert to fraction form
    100,287.66/138,398.05 = 54,964.66/x
  3. Step 3: Cross multiply
    100,287.66x = 138,398.05 × 54,964.66
  4. Step 4: Simplify right side
    100,287.66x = 7,607,002,213.05
  5. Step 5: Solve for x
    x = 7,607,002,213.05/100,287.66
  6. Step 6: Final answer
    x = 75,851.83

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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.