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Finding the Fourth Proportional to 81,609.10, 112,734.09 and 77,618.78

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Solution

The fourth proportional to 81,609.10, 112,734.09 and 77,618.78 is: 107,221.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,609.10 : 112,734.09 = 77,618.78 : x
  2. Step 2: Convert to fraction form
    81,609.10/112,734.09 = 77,618.78/x
  3. Step 3: Cross multiply
    81,609.10x = 112,734.09 × 77,618.78
  4. Step 4: Simplify right side
    81,609.10x = 8,750,282,450.77
  5. Step 5: Solve for x
    x = 8,750,282,450.77/81,609.10
  6. Step 6: Final answer
    x = 107,221.89

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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.