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Finding the Fourth Proportional to 132,043.39, 182,243.16 and 78,358

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Solution

The fourth proportional to 132,043.39, 182,243.16 and 78,358 is: 108,147.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,043.39 : 182,243.16 = 78,358 : x
  2. Step 2: Convert to fraction form
    132,043.39/182,243.16 = 78,358/x
  3. Step 3: Cross multiply
    132,043.39x = 182,243.16 × 78,358
  4. Step 4: Simplify right side
    132,043.39x = 14,280,209,531.28
  5. Step 5: Solve for x
    x = 14,280,209,531.28/132,043.39
  6. Step 6: Final answer
    x = 108,147.86

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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.