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Finding the Fourth Proportional to 262,154.73, 393,230.86 and 82,253.32

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Solution

The fourth proportional to 262,154.73, 393,230.86 and 82,253.32 is: 123,379.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,154.73 : 393,230.86 = 82,253.32 : x
  2. Step 2: Convert to fraction form
    262,154.73/393,230.86 = 82,253.32/x
  3. Step 3: Cross multiply
    262,154.73x = 393,230.86 × 82,253.32
  4. Step 4: Simplify right side
    262,154.73x = 32,344,543,761.46
  5. Step 5: Solve for x
    x = 32,344,543,761.46/262,154.73
  6. Step 6: Final answer
    x = 123,379.59

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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.