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Finding the Fourth Proportional to 267,722.76, 401,423.76 and 85,274.88

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Solution

The fourth proportional to 267,722.76, 401,423.76 and 85,274.88 is: 127,861.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,722.76 : 401,423.76 = 85,274.88 : x
  2. Step 2: Convert to fraction form
    267,722.76/401,423.76 = 85,274.88/x
  3. Step 3: Cross multiply
    267,722.76x = 401,423.76 × 85,274.88
  4. Step 4: Simplify right side
    267,722.76x = 34,231,362,963.15
  5. Step 5: Solve for x
    x = 34,231,362,963.15/267,722.76
  6. Step 6: Final answer
    x = 127,861.24

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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.