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Finding the Fourth Proportional to 106,432.70, 146,799.92 and 72,380.66

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Solution

The fourth proportional to 106,432.70, 146,799.92 and 72,380.66 is: 99,832.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,432.70 : 146,799.92 = 72,380.66 : x
  2. Step 2: Convert to fraction form
    106,432.70/146,799.92 = 72,380.66/x
  3. Step 3: Cross multiply
    106,432.70x = 146,799.92 × 72,380.66
  4. Step 4: Simplify right side
    106,432.70x = 10,625,475,097.55
  5. Step 5: Solve for x
    x = 10,625,475,097.55/106,432.70
  6. Step 6: Final answer
    x = 99,832.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.