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Finding the Fourth Proportional to 267,101.78, 400,651.16 and 67,421.34

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Solution

The fourth proportional to 267,101.78, 400,651.16 and 67,421.34 is: 101,131.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,101.78 : 400,651.16 = 67,421.34 : x
  2. Step 2: Convert to fraction form
    267,101.78/400,651.16 = 67,421.34/x
  3. Step 3: Cross multiply
    267,101.78x = 400,651.16 × 67,421.34
  4. Step 4: Simplify right side
    267,101.78x = 27,012,437,742.65
  5. Step 5: Solve for x
    x = 27,012,437,742.65/267,101.78
  6. Step 6: Final answer
    x = 101,131.63

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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.