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Finding the Fourth Proportional to 230,348.65, 345,540.47 and 78,498.53

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Solution

The fourth proportional to 230,348.65, 345,540.47 and 78,498.53 is: 117,753.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,348.65 : 345,540.47 = 78,498.53 : x
  2. Step 2: Convert to fraction form
    230,348.65/345,540.47 = 78,498.53/x
  3. Step 3: Cross multiply
    230,348.65x = 345,540.47 × 78,498.53
  4. Step 4: Simplify right side
    230,348.65x = 27,124,420,290.53
  5. Step 5: Solve for x
    x = 27,124,420,290.53/230,348.65
  6. Step 6: Final answer
    x = 117,753.76

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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.