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Finding the Fourth Proportional to 178,082.60, 267,222.90 and 72,894.20

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Solution

The fourth proportional to 178,082.60, 267,222.90 and 72,894.20 is: 109,381.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,082.60 : 267,222.90 = 72,894.20 : x
  2. Step 2: Convert to fraction form
    178,082.60/267,222.90 = 72,894.20/x
  3. Step 3: Cross multiply
    178,082.60x = 267,222.90 × 72,894.20
  4. Step 4: Simplify right side
    178,082.60x = 19,478,999,517.18
  5. Step 5: Solve for x
    x = 19,478,999,517.18/178,082.60
  6. Step 6: Final answer
    x = 109,381.82

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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.