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Finding the Fourth Proportional to 139,539.33, 209,045.62 and 82,442.87

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Solution

The fourth proportional to 139,539.33, 209,045.62 and 82,442.87 is: 123,508.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,539.33 : 209,045.62 = 82,442.87 : x
  2. Step 2: Convert to fraction form
    139,539.33/209,045.62 = 82,442.87/x
  3. Step 3: Cross multiply
    139,539.33x = 209,045.62 × 82,442.87
  4. Step 4: Simplify right side
    139,539.33x = 17,234,320,873.73
  5. Step 5: Solve for x
    x = 17,234,320,873.73/139,539.33
  6. Step 6: Final answer
    x = 123,508.70

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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.