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Finding the Fourth Proportional to 78,091.92, 117,137.56 and 18,927.52

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Solution

The fourth proportional to 78,091.92, 117,137.56 and 18,927.52 is: 28,391.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,091.92 : 117,137.56 = 18,927.52 : x
  2. Step 2: Convert to fraction form
    78,091.92/117,137.56 = 18,927.52/x
  3. Step 3: Cross multiply
    78,091.92x = 117,137.56 × 18,927.52
  4. Step 4: Simplify right side
    78,091.92x = 2,217,123,509.65
  5. Step 5: Solve for x
    x = 2,217,123,509.65/78,091.92
  6. Step 6: Final answer
    x = 28,391.20

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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.