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Finding the Fourth Proportional to 137,000, 205,500 and 38,504

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Solution

The fourth proportional to 137,000, 205,500 and 38,504 is: 57,756

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,000 : 205,500 = 38,504 : x
  2. Step 2: Convert to fraction form
    137,000/205,500 = 38,504/x
  3. Step 3: Cross multiply
    137,000x = 205,500 × 38,504
  4. Step 4: Simplify right side
    137,000x = 7,912,572,000
  5. Step 5: Solve for x
    x = 7,912,572,000/137,000
  6. Step 6: Final answer
    x = 57,756

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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.