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Finding the Fourth Proportional to 267,357.31, 401,098.84 and 77,821.76

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Solution

The fourth proportional to 267,357.31, 401,098.84 and 77,821.76 is: 116,750.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,357.31 : 401,098.84 = 77,821.76 : x
  2. Step 2: Convert to fraction form
    267,357.31/401,098.84 = 77,821.76/x
  3. Step 3: Cross multiply
    267,357.31x = 401,098.84 × 77,821.76
  4. Step 4: Simplify right side
    267,357.31x = 31,214,218,470.95
  5. Step 5: Solve for x
    x = 31,214,218,470.95/267,357.31
  6. Step 6: Final answer
    x = 116,750.95

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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.