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Finding the Fourth Proportional to 261,874.82, 392,804.46 and 72,346.56

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Solution

The fourth proportional to 261,874.82, 392,804.46 and 72,346.56 is: 108,517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,874.82 : 392,804.46 = 72,346.56 : x
  2. Step 2: Convert to fraction form
    261,874.82/392,804.46 = 72,346.56/x
  3. Step 3: Cross multiply
    261,874.82x = 392,804.46 × 72,346.56
  4. Step 4: Simplify right side
    261,874.82x = 28,418,051,433.66
  5. Step 5: Solve for x
    x = 28,418,051,433.66/261,874.82
  6. Step 6: Final answer
    x = 108,517.70

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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.