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Finding the Fourth Proportional to 132,558, 182,930.04 and 72,942

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Solution

The fourth proportional to 132,558, 182,930.04 and 72,942 is: 100,659.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,558 : 182,930.04 = 72,942 : x
  2. Step 2: Convert to fraction form
    132,558/182,930.04 = 72,942/x
  3. Step 3: Cross multiply
    132,558x = 182,930.04 × 72,942
  4. Step 4: Simplify right side
    132,558x = 13,343,282,977.68
  5. Step 5: Solve for x
    x = 13,343,282,977.68/132,558
  6. Step 6: Final answer
    x = 100,659.96

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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.