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Finding the Fourth Proportional to 100,729.31, 151,125.21 and 41,569.74

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Solution

The fourth proportional to 100,729.31, 151,125.21 and 41,569.74 is: 62,367.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,729.31 : 151,125.21 = 41,569.74 : x
  2. Step 2: Convert to fraction form
    100,729.31/151,125.21 = 41,569.74/x
  3. Step 3: Cross multiply
    100,729.31x = 151,125.21 × 41,569.74
  4. Step 4: Simplify right side
    100,729.31x = 6,282,235,687.15
  5. Step 5: Solve for x
    x = 6,282,235,687.15/100,729.31
  6. Step 6: Final answer
    x = 62,367.51

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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.