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Finding the Fourth Proportional to 139,825.92, 209,572.38 and 80,538.78

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Solution

The fourth proportional to 139,825.92, 209,572.38 and 80,538.78 is: 120,712.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,825.92 : 209,572.38 = 80,538.78 : x
  2. Step 2: Convert to fraction form
    139,825.92/209,572.38 = 80,538.78/x
  3. Step 3: Cross multiply
    139,825.92x = 209,572.38 × 80,538.78
  4. Step 4: Simplify right side
    139,825.92x = 16,878,703,806.90
  5. Step 5: Solve for x
    x = 16,878,703,806.90/139,825.92
  6. Step 6: Final answer
    x = 120,712.27

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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.