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Finding the Fourth Proportional to 121,650, 182,474.19 and 32,912.61

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Solution

The fourth proportional to 121,650, 182,474.19 and 32,912.61 is: 49,368.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,650 : 182,474.19 = 32,912.61 : x
  2. Step 2: Convert to fraction form
    121,650/182,474.19 = 32,912.61/x
  3. Step 3: Cross multiply
    121,650x = 182,474.19 × 32,912.61
  4. Step 4: Simplify right side
    121,650x = 6,005,701,850.54
  5. Step 5: Solve for x
    x = 6,005,701,850.54/121,650
  6. Step 6: Final answer
    x = 49,368.70

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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.