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Finding the Fourth Proportional to 126,672.32, 189,949.92 and 71,268.32

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Solution

The fourth proportional to 126,672.32, 189,949.92 and 71,268.32 is: 106,869.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,672.32 : 189,949.92 = 71,268.32 : x
  2. Step 2: Convert to fraction form
    126,672.32/189,949.92 = 71,268.32/x
  3. Step 3: Cross multiply
    126,672.32x = 189,949.92 × 71,268.32
  4. Step 4: Simplify right side
    126,672.32x = 13,537,411,682.53
  5. Step 5: Solve for x
    x = 13,537,411,682.53/126,672.32
  6. Step 6: Final answer
    x = 106,869.53

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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.