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Finding the Fourth Proportional to 230,474.12, 345,711.18 and 72,718.52

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Solution

The fourth proportional to 230,474.12, 345,711.18 and 72,718.52 is: 109,077.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,474.12 : 345,711.18 = 72,718.52 : x
  2. Step 2: Convert to fraction form
    230,474.12/345,711.18 = 72,718.52/x
  3. Step 3: Cross multiply
    230,474.12x = 345,711.18 × 72,718.52
  4. Step 4: Simplify right side
    230,474.12x = 25,139,605,357.05
  5. Step 5: Solve for x
    x = 25,139,605,357.05/230,474.12
  6. Step 6: Final answer
    x = 109,077.78

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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.