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Finding the Fourth Proportional to 131,591.72, 197,414.21 and 42,821.39

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Solution

The fourth proportional to 131,591.72, 197,414.21 and 42,821.39 is: 64,240.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,591.72 : 197,414.21 = 42,821.39 : x
  2. Step 2: Convert to fraction form
    131,591.72/197,414.21 = 42,821.39/x
  3. Step 3: Cross multiply
    131,591.72x = 197,414.21 × 42,821.39
  4. Step 4: Simplify right side
    131,591.72x = 8,453,551,478.54
  5. Step 5: Solve for x
    x = 8,453,551,478.54/131,591.72
  6. Step 6: Final answer
    x = 64,240.75

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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.