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Finding the Fourth Proportional to 230,524.80, 345,648.96 and 90,116.16

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Solution

The fourth proportional to 230,524.80, 345,648.96 and 90,116.16 is: 135,120.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,524.80 : 345,648.96 = 90,116.16 : x
  2. Step 2: Convert to fraction form
    230,524.80/345,648.96 = 90,116.16/x
  3. Step 3: Cross multiply
    230,524.80x = 345,648.96 × 90,116.16
  4. Step 4: Simplify right side
    230,524.80x = 31,148,556,983.19
  5. Step 5: Solve for x
    x = 31,148,556,983.19/230,524.80
  6. Step 6: Final answer
    x = 135,120.20

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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.