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Finding the Fourth Proportional to 120,083.91, 165,718.89 and 66,369.57

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Solution

The fourth proportional to 120,083.91, 165,718.89 and 66,369.57 is: 91,591.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,083.91 : 165,718.89 = 66,369.57 : x
  2. Step 2: Convert to fraction form
    120,083.91/165,718.89 = 66,369.57/x
  3. Step 3: Cross multiply
    120,083.91x = 165,718.89 × 66,369.57
  4. Step 4: Simplify right side
    120,083.91x = 10,998,691,470.18
  5. Step 5: Solve for x
    x = 10,998,691,470.18/120,083.91
  6. Step 6: Final answer
    x = 91,591.72

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1.5x scale

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.