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Finding the Fourth Proportional to 178,261.84, 267,348.72 and 78,447.04

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Solution

The fourth proportional to 178,261.84, 267,348.72 and 78,447.04 is: 117,651.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,261.84 : 267,348.72 = 78,447.04 : x
  2. Step 2: Convert to fraction form
    178,261.84/267,348.72 = 78,447.04/x
  3. Step 3: Cross multiply
    178,261.84x = 267,348.72 × 78,447.04
  4. Step 4: Simplify right side
    178,261.84x = 20,972,715,731.79
  5. Step 5: Solve for x
    x = 20,972,715,731.79/178,261.84
  6. Step 6: Final answer
    x = 117,651.18

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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.