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Finding the Fourth Proportional to 267,285.42, 400,964.99 and 89,806.12

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Solution

The fourth proportional to 267,285.42, 400,964.99 and 89,806.12 is: 134,721.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,285.42 : 400,964.99 = 89,806.12 : x
  2. Step 2: Convert to fraction form
    267,285.42/400,964.99 = 89,806.12/x
  3. Step 3: Cross multiply
    267,285.42x = 400,964.99 × 89,806.12
  4. Step 4: Simplify right side
    267,285.42x = 36,009,108,556.30
  5. Step 5: Solve for x
    x = 36,009,108,556.30/267,285.42
  6. Step 6: Final answer
    x = 134,721.56

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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.