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Finding the Fourth Proportional to 178,478.57, 267,788.03 and 78,568.72

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Solution

The fourth proportional to 178,478.57, 267,788.03 and 78,568.72 is: 117,883.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,478.57 : 267,788.03 = 78,568.72 : x
  2. Step 2: Convert to fraction form
    178,478.57/267,788.03 = 78,568.72/x
  3. Step 3: Cross multiply
    178,478.57x = 267,788.03 × 78,568.72
  4. Step 4: Simplify right side
    178,478.57x = 21,039,761,686.11
  5. Step 5: Solve for x
    x = 21,039,761,686.11/178,478.57
  6. Step 6: Final answer
    x = 117,883.96

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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.