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Finding the Fourth Proportional to 230,454.80, 345,543.96 and 90,046.16

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Solution

The fourth proportional to 230,454.80, 345,543.96 and 90,046.16 is: 135,015.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,454.80 : 345,543.96 = 90,046.16 : x
  2. Step 2: Convert to fraction form
    230,454.80/345,543.96 = 90,046.16/x
  3. Step 3: Cross multiply
    230,454.80x = 345,543.96 × 90,046.16
  4. Step 4: Simplify right side
    230,454.80x = 31,114,906,709.19
  5. Step 5: Solve for x
    x = 31,114,906,709.19/230,454.80
  6. Step 6: Final answer
    x = 135,015.23

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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.