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Finding the Fourth Proportional to 230,079.52, 345,276.92 and 80,319.84

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Solution

The fourth proportional to 230,079.52, 345,276.92 and 80,319.84 is: 120,534.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,079.52 : 345,276.92 = 80,319.84 : x
  2. Step 2: Convert to fraction form
    230,079.52/345,276.92 = 80,319.84/x
  3. Step 3: Cross multiply
    230,079.52x = 345,276.92 × 80,319.84
  4. Step 4: Simplify right side
    230,079.52x = 27,732,586,970.09
  5. Step 5: Solve for x
    x = 27,732,586,970.09/230,079.52
  6. Step 6: Final answer
    x = 120,534.79

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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.