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Finding the Fourth Proportional to 132,380.96, 182,689.04 and 72,764.96

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Solution

The fourth proportional to 132,380.96, 182,689.04 and 72,764.96 is: 100,417.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,380.96 : 182,689.04 = 72,764.96 : x
  2. Step 2: Convert to fraction form
    132,380.96/182,689.04 = 72,764.96/x
  3. Step 3: Cross multiply
    132,380.96x = 182,689.04 × 72,764.96
  4. Step 4: Simplify right side
    132,380.96x = 13,293,360,688.04
  5. Step 5: Solve for x
    x = 13,293,360,688.04/132,380.96
  6. Step 6: Final answer
    x = 100,417.47

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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.