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Finding the Fourth Proportional to 267,679.71, 401,431.10 and 90,142.65

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Solution

The fourth proportional to 267,679.71, 401,431.10 and 90,142.65 is: 135,184.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,679.71 : 401,431.10 = 90,142.65 : x
  2. Step 2: Convert to fraction form
    267,679.71/401,431.10 = 90,142.65/x
  3. Step 3: Cross multiply
    267,679.71x = 401,431.10 × 90,142.65
  4. Step 4: Simplify right side
    267,679.71x = 36,186,062,695.70
  5. Step 5: Solve for x
    x = 36,186,062,695.70/267,679.71
  6. Step 6: Final answer
    x = 135,184.18

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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.