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Finding the Fourth Proportional to 100,005.69, 138,042.61 and 57,581.13

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Solution

The fourth proportional to 100,005.69, 138,042.61 and 57,581.13 is: 79,481.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,005.69 : 138,042.61 = 57,581.13 : x
  2. Step 2: Convert to fraction form
    100,005.69/138,042.61 = 57,581.13/x
  3. Step 3: Cross multiply
    100,005.69x = 138,042.61 × 57,581.13
  4. Step 4: Simplify right side
    100,005.69x = 7,948,649,328.00
  5. Step 5: Solve for x
    x = 7,948,649,328.00/100,005.69
  6. Step 6: Final answer
    x = 79,481.97

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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.