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Finding the Fourth Proportional to 138,773.18, 208,160.31 and 33,591.98

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Solution

The fourth proportional to 138,773.18, 208,160.31 and 33,591.98 is: 50,388.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,773.18 : 208,160.31 = 33,591.98 : x
  2. Step 2: Convert to fraction form
    138,773.18/208,160.31 = 33,591.98/x
  3. Step 3: Cross multiply
    138,773.18x = 208,160.31 × 33,591.98
  4. Step 4: Simplify right side
    138,773.18x = 6,992,516,970.31
  5. Step 5: Solve for x
    x = 6,992,516,970.31/138,773.18
  6. Step 6: Final answer
    x = 50,388.10

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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.