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Finding the Fourth Proportional to 178,122.60, 267,086.70 and 72,822.60

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Solution

The fourth proportional to 178,122.60, 267,086.70 and 72,822.60 is: 109,194.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,122.60 : 267,086.70 = 72,822.60 : x
  2. Step 2: Convert to fraction form
    178,122.60/267,086.70 = 72,822.60/x
  3. Step 3: Cross multiply
    178,122.60x = 267,086.70 × 72,822.60
  4. Step 4: Simplify right side
    178,122.60x = 19,449,947,919.42
  5. Step 5: Solve for x
    x = 19,449,947,919.42/178,122.60
  6. Step 6: Final answer
    x = 109,194.16

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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.