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Finding the Fourth Proportional to 136,992, 205,488 and 38,496

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Solution

The fourth proportional to 136,992, 205,488 and 38,496 is: 57,744

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,992 : 205,488 = 38,496 : x
  2. Step 2: Convert to fraction form
    136,992/205,488 = 38,496/x
  3. Step 3: Cross multiply
    136,992x = 205,488 × 38,496
  4. Step 4: Simplify right side
    136,992x = 7,910,466,048
  5. Step 5: Solve for x
    x = 7,910,466,048/136,992
  6. Step 6: Final answer
    x = 57,744

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.