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Finding the Fourth Proportional to 132,041.38, 182,240.39 and 78,356

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Solution

The fourth proportional to 132,041.38, 182,240.39 and 78,356 is: 108,145.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,041.38 : 182,240.39 = 78,356 : x
  2. Step 2: Convert to fraction form
    132,041.38/182,240.39 = 78,356/x
  3. Step 3: Cross multiply
    132,041.38x = 182,240.39 × 78,356
  4. Step 4: Simplify right side
    132,041.38x = 14,279,627,998.84
  5. Step 5: Solve for x
    x = 14,279,627,998.84/132,041.38
  6. Step 6: Final answer
    x = 108,145.10

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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.