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Finding the Fourth Proportional to 81,767.28, 122,478.12 and 61,826.16

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Solution

The fourth proportional to 81,767.28, 122,478.12 and 61,826.16 is: 92,608.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,767.28 : 122,478.12 = 61,826.16 : x
  2. Step 2: Convert to fraction form
    81,767.28/122,478.12 = 61,826.16/x
  3. Step 3: Cross multiply
    81,767.28x = 122,478.12 × 61,826.16
  4. Step 4: Simplify right side
    81,767.28x = 7,572,351,843.62
  5. Step 5: Solve for x
    x = 7,572,351,843.62/81,767.28
  6. Step 6: Final answer
    x = 92,608.58

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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.