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Finding the Fourth Proportional to 135,396.30, 186,849.22 and 74,147.88

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Solution

The fourth proportional to 135,396.30, 186,849.22 and 74,147.88 is: 102,325.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,396.30 : 186,849.22 = 74,147.88 : x
  2. Step 2: Convert to fraction form
    135,396.30/186,849.22 = 74,147.88/x
  3. Step 3: Cross multiply
    135,396.30x = 186,849.22 × 74,147.88
  4. Step 4: Simplify right side
    135,396.30x = 13,854,473,542.65
  5. Step 5: Solve for x
    x = 13,854,473,542.65/135,396.30
  6. Step 6: Final answer
    x = 102,325.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.