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Finding the Fourth Proportional to 138,206.60, 207,310.30 and 38,372.20

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Solution

The fourth proportional to 138,206.60, 207,310.30 and 38,372.20 is: 57,558.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,206.60 : 207,310.30 = 38,372.20 : x
  2. Step 2: Convert to fraction form
    138,206.60/207,310.30 = 38,372.20/x
  3. Step 3: Cross multiply
    138,206.60x = 207,310.30 × 38,372.20
  4. Step 4: Simplify right side
    138,206.60x = 7,954,952,293.66
  5. Step 5: Solve for x
    x = 7,954,952,293.66/138,206.60
  6. Step 6: Final answer
    x = 57,558.41

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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.