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Finding the Fourth Proportional to 178,291.22, 267,523.90 and 78,438.94

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Solution

The fourth proportional to 178,291.22, 267,523.90 and 78,438.94 is: 117,696.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,291.22 : 267,523.90 = 78,438.94 : x
  2. Step 2: Convert to fraction form
    178,291.22/267,523.90 = 78,438.94/x
  3. Step 3: Cross multiply
    178,291.22x = 267,523.90 × 78,438.94
  4. Step 4: Simplify right side
    178,291.22x = 20,984,290,275.76
  5. Step 5: Solve for x
    x = 20,984,290,275.76/178,291.22
  6. Step 6: Final answer
    x = 117,696.71

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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.