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Finding the Fourth Proportional to 100,498.01, 138,689.42 and 57,481.43

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Solution

The fourth proportional to 100,498.01, 138,689.42 and 57,481.43 is: 79,325.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,498.01 : 138,689.42 = 57,481.43 : x
  2. Step 2: Convert to fraction form
    100,498.01/138,689.42 = 57,481.43/x
  3. Step 3: Cross multiply
    100,498.01x = 138,689.42 × 57,481.43
  4. Step 4: Simplify right side
    100,498.01x = 7,972,065,206.62
  5. Step 5: Solve for x
    x = 7,972,065,206.62/100,498.01
  6. Step 6: Final answer
    x = 79,325.61

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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.