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Finding the Fourth Proportional to 136,998, 205,497 and 38,502

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Solution

The fourth proportional to 136,998, 205,497 and 38,502 is: 57,753

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,998 : 205,497 = 38,502 : x
  2. Step 2: Convert to fraction form
    136,998/205,497 = 38,502/x
  3. Step 3: Cross multiply
    136,998x = 205,497 × 38,502
  4. Step 4: Simplify right side
    136,998x = 7,912,045,494
  5. Step 5: Solve for x
    x = 7,912,045,494/136,998
  6. Step 6: Final answer
    x = 57,753

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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.