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Finding the Fourth Proportional to 115,808.65, 173,742.92 and 67,817.78

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Solution

The fourth proportional to 115,808.65, 173,742.92 and 67,817.78 is: 101,744.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,808.65 : 173,742.92 = 67,817.78 : x
  2. Step 2: Convert to fraction form
    115,808.65/173,742.92 = 67,817.78/x
  3. Step 3: Cross multiply
    115,808.65x = 173,742.92 × 67,817.78
  4. Step 4: Simplify right side
    115,808.65x = 11,782,859,215.14
  5. Step 5: Solve for x
    x = 11,782,859,215.14/115,808.65
  6. Step 6: Final answer
    x = 101,744.21

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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.