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Finding the Fourth Proportional to 230,305.68, 345,458.52 and 89,965.89

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Solution

The fourth proportional to 230,305.68, 345,458.52 and 89,965.89 is: 134,948.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,305.68 : 345,458.52 = 89,965.89 : x
  2. Step 2: Convert to fraction form
    230,305.68/345,458.52 = 89,965.89/x
  3. Step 3: Cross multiply
    230,305.68x = 345,458.52 × 89,965.89
  4. Step 4: Simplify right side
    230,305.68x = 31,079,483,209.88
  5. Step 5: Solve for x
    x = 31,079,483,209.88/230,305.68
  6. Step 6: Final answer
    x = 134,948.84

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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.