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Finding the Fourth Proportional to 230,178.80, 345,240.12 and 61,711.76

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Solution

The fourth proportional to 230,178.80, 345,240.12 and 61,711.76 is: 92,560.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,178.80 : 345,240.12 = 61,711.76 : x
  2. Step 2: Convert to fraction form
    230,178.80/345,240.12 = 61,711.76/x
  3. Step 3: Cross multiply
    230,178.80x = 345,240.12 × 61,711.76
  4. Step 4: Simplify right side
    230,178.80x = 21,305,375,427.81
  5. Step 5: Solve for x
    x = 21,305,375,427.81/230,178.80
  6. Step 6: Final answer
    x = 92,560.11

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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.