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Finding the Fourth Proportional to 178,452.80, 267,640.80 and 78,612.80

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Solution

The fourth proportional to 178,452.80, 267,640.80 and 78,612.80 is: 117,902.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,452.80 : 267,640.80 = 78,612.80 : x
  2. Step 2: Convert to fraction form
    178,452.80/267,640.80 = 78,612.80/x
  3. Step 3: Cross multiply
    178,452.80x = 267,640.80 × 78,612.80
  4. Step 4: Simplify right side
    178,452.80x = 21,039,992,682.24
  5. Step 5: Solve for x
    x = 21,039,992,682.24/178,452.80
  6. Step 6: Final answer
    x = 117,902.28

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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.