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Finding the Fourth Proportional to 131,403.84, 197,200.86 and 52,540.68

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Solution

The fourth proportional to 131,403.84, 197,200.86 and 52,540.68 is: 78,849.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,403.84 : 197,200.86 = 52,540.68 : x
  2. Step 2: Convert to fraction form
    131,403.84/197,200.86 = 52,540.68/x
  3. Step 3: Cross multiply
    131,403.84x = 197,200.86 × 52,540.68
  4. Step 4: Simplify right side
    131,403.84x = 10,361,067,280.98
  5. Step 5: Solve for x
    x = 10,361,067,280.98/131,403.84
  6. Step 6: Final answer
    x = 78,849.04

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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.