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Finding the Fourth Proportional to 69,645.75, 96,105.88 and 39,424.14

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Solution

The fourth proportional to 69,645.75, 96,105.88 and 39,424.14 is: 54,402.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,645.75 : 96,105.88 = 39,424.14 : x
  2. Step 2: Convert to fraction form
    69,645.75/96,105.88 = 39,424.14/x
  3. Step 3: Cross multiply
    69,645.75x = 96,105.88 × 39,424.14
  4. Step 4: Simplify right side
    69,645.75x = 3,788,891,569.38
  5. Step 5: Solve for x
    x = 3,788,891,569.38/69,645.75
  6. Step 6: Final answer
    x = 54,402.34

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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.