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Finding the Fourth Proportional to 121,721.65, 182,651.24 and 65,560.57

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Solution

The fourth proportional to 121,721.65, 182,651.24 and 65,560.57 is: 98,377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,721.65 : 182,651.24 = 65,560.57 : x
  2. Step 2: Convert to fraction form
    121,721.65/182,651.24 = 65,560.57/x
  3. Step 3: Cross multiply
    121,721.65x = 182,651.24 × 65,560.57
  4. Step 4: Simplify right side
    121,721.65x = 11,974,719,077.80
  5. Step 5: Solve for x
    x = 11,974,719,077.80/121,721.65
  6. Step 6: Final answer
    x = 98,377.89

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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.