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Finding the Fourth Proportional to 230,290.32, 345,447.84 and 72,531.12

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Solution

The fourth proportional to 230,290.32, 345,447.84 and 72,531.12 is: 108,800.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,290.32 : 345,447.84 = 72,531.12 : x
  2. Step 2: Convert to fraction form
    230,290.32/345,447.84 = 72,531.12/x
  3. Step 3: Cross multiply
    230,290.32x = 345,447.84 × 72,531.12
  4. Step 4: Simplify right side
    230,290.32x = 25,055,718,736.78
  5. Step 5: Solve for x
    x = 25,055,718,736.78/230,290.32
  6. Step 6: Final answer
    x = 108,800.57

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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.