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Finding the Fourth Proportional to 117,091.80, 175,638.11 and 28,345.17

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Solution

The fourth proportional to 117,091.80, 175,638.11 and 28,345.17 is: 42,517.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,091.80 : 175,638.11 = 28,345.17 : x
  2. Step 2: Convert to fraction form
    117,091.80/175,638.11 = 28,345.17/x
  3. Step 3: Cross multiply
    117,091.80x = 175,638.11 × 28,345.17
  4. Step 4: Simplify right side
    117,091.80x = 4,978,491,944.70
  5. Step 5: Solve for x
    x = 4,978,491,944.70/117,091.80
  6. Step 6: Final answer
    x = 42,517.85

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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.