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Finding the Fourth Proportional to 138,324.70, 207,487.86 and 38,492.20

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Solution

The fourth proportional to 138,324.70, 207,487.86 and 38,492.20 is: 57,738.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,324.70 : 207,487.86 = 38,492.20 : x
  2. Step 2: Convert to fraction form
    138,324.70/207,487.86 = 38,492.20/x
  3. Step 3: Cross multiply
    138,324.70x = 207,487.86 × 38,492.20
  4. Step 4: Simplify right side
    138,324.70x = 7,986,664,204.69
  5. Step 5: Solve for x
    x = 7,986,664,204.69/138,324.70
  6. Step 6: Final answer
    x = 57,738.53

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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.