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Finding the Fourth Proportional to 138,726, 208,123.56 and 40,230

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Solution

The fourth proportional to 138,726, 208,123.56 and 40,230 is: 60,355.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,726 : 208,123.56 = 40,230 : x
  2. Step 2: Convert to fraction form
    138,726/208,123.56 = 40,230/x
  3. Step 3: Cross multiply
    138,726x = 208,123.56 × 40,230
  4. Step 4: Simplify right side
    138,726x = 8,372,810,818.80
  5. Step 5: Solve for x
    x = 8,372,810,818.80/138,726
  6. Step 6: Final answer
    x = 60,355.02

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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.