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Finding the Fourth Proportional to 78,013.80, 116,886.30 and 36,375.40

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Solution

The fourth proportional to 78,013.80, 116,886.30 and 36,375.40 is: 54,500.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,013.80 : 116,886.30 = 36,375.40 : x
  2. Step 2: Convert to fraction form
    78,013.80/116,886.30 = 36,375.40/x
  3. Step 3: Cross multiply
    78,013.80x = 116,886.30 × 36,375.40
  4. Step 4: Simplify right side
    78,013.80x = 4,251,785,917.02
  5. Step 5: Solve for x
    x = 4,251,785,917.02/78,013.80
  6. Step 6: Final answer
    x = 54,500.43

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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.