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Finding the Fourth Proportional to 131,164.76, 196,339.88 and 71,043.92

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Solution

The fourth proportional to 131,164.76, 196,339.88 and 71,043.92 is: 106,345.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,164.76 : 196,339.88 = 71,043.92 : x
  2. Step 2: Convert to fraction form
    131,164.76/196,339.88 = 71,043.92/x
  3. Step 3: Cross multiply
    131,164.76x = 196,339.88 × 71,043.92
  4. Step 4: Simplify right side
    131,164.76x = 13,948,753,390.61
  5. Step 5: Solve for x
    x = 13,948,753,390.61/131,164.76
  6. Step 6: Final answer
    x = 106,345.29

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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.