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Finding the Fourth Proportional to 100,414.42, 138,566.91 and 57,392.62

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Solution

The fourth proportional to 100,414.42, 138,566.91 and 57,392.62 is: 79,198.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,414.42 : 138,566.91 = 57,392.62 : x
  2. Step 2: Convert to fraction form
    100,414.42/138,566.91 = 57,392.62/x
  3. Step 3: Cross multiply
    100,414.42x = 138,566.91 × 57,392.62
  4. Step 4: Simplify right side
    100,414.42x = 7,952,718,010.20
  5. Step 5: Solve for x
    x = 7,952,718,010.20/100,414.42
  6. Step 6: Final answer
    x = 79,198.96

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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.