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Finding the Fourth Proportional to 132,342.32, 198,396.76 and 49,178

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Solution

The fourth proportional to 132,342.32, 198,396.76 and 49,178 is: 73,723.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,342.32 : 198,396.76 = 49,178 : x
  2. Step 2: Convert to fraction form
    132,342.32/198,396.76 = 49,178/x
  3. Step 3: Cross multiply
    132,342.32x = 198,396.76 × 49,178
  4. Step 4: Simplify right side
    132,342.32x = 9,756,755,863.28
  5. Step 5: Solve for x
    x = 9,756,755,863.28/132,342.32
  6. Step 6: Final answer
    x = 73,723.63

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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.