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Finding the Fourth Proportional to 285,900.56, 428,712.18 and 86,183.72

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Solution

The fourth proportional to 285,900.56, 428,712.18 and 86,183.72 is: 129,233.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,900.56 : 428,712.18 = 86,183.72 : x
  2. Step 2: Convert to fraction form
    285,900.56/428,712.18 = 86,183.72/x
  3. Step 3: Cross multiply
    285,900.56x = 428,712.18 × 86,183.72
  4. Step 4: Simplify right side
    285,900.56x = 36,948,010,481.71
  5. Step 5: Solve for x
    x = 36,948,010,481.71/285,900.56
  6. Step 6: Final answer
    x = 129,233.78

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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.