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Finding the Fourth Proportional to 91,706.80, 137,560.20 and 82,849.45

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Solution

The fourth proportional to 91,706.80, 137,560.20 and 82,849.45 is: 124,274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,706.80 : 137,560.20 = 82,849.45 : x
  2. Step 2: Convert to fraction form
    91,706.80/137,560.20 = 82,849.45/x
  3. Step 3: Cross multiply
    91,706.80x = 137,560.20 × 82,849.45
  4. Step 4: Simplify right side
    91,706.80x = 11,396,786,911.89
  5. Step 5: Solve for x
    x = 11,396,786,911.89/91,706.80
  6. Step 6: Final answer
    x = 124,274.18

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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.