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Finding the Fourth Proportional to 137,002, 205,503 and 38,506

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Solution

The fourth proportional to 137,002, 205,503 and 38,506 is: 57,759

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,002 : 205,503 = 38,506 : x
  2. Step 2: Convert to fraction form
    137,002/205,503 = 38,506/x
  3. Step 3: Cross multiply
    137,002x = 205,503 × 38,506
  4. Step 4: Simplify right side
    137,002x = 7,913,098,518
  5. Step 5: Solve for x
    x = 7,913,098,518/137,002
  6. Step 6: Final answer
    x = 57,759

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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.