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Finding the Fourth Proportional to 137,001, 205,501.50 and 38,505

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Solution

The fourth proportional to 137,001, 205,501.50 and 38,505 is: 57,757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,001 : 205,501.50 = 38,505 : x
  2. Step 2: Convert to fraction form
    137,001/205,501.50 = 38,505/x
  3. Step 3: Cross multiply
    137,001x = 205,501.50 × 38,505
  4. Step 4: Simplify right side
    137,001x = 7,912,835,257.50
  5. Step 5: Solve for x
    x = 7,912,835,257.50/137,001
  6. Step 6: Final answer
    x = 57,757.50

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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.