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Finding the Fourth Proportional to 285,896.56, 428,706.18 and 86,179.72

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Solution

The fourth proportional to 285,896.56, 428,706.18 and 86,179.72 is: 129,227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,896.56 : 428,706.18 = 86,179.72 : x
  2. Step 2: Convert to fraction form
    285,896.56/428,706.18 = 86,179.72/x
  3. Step 3: Cross multiply
    285,896.56x = 428,706.18 × 86,179.72
  4. Step 4: Simplify right side
    285,896.56x = 36,945,778,554.67
  5. Step 5: Solve for x
    x = 36,945,778,554.67/285,896.56
  6. Step 6: Final answer
    x = 129,227.78

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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.