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Finding the Fourth Proportional to 285,859.89, 428,851.76 and 86,163.57

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Solution

The fourth proportional to 285,859.89, 428,851.76 and 86,163.57 is: 129,264.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,859.89 : 428,851.76 = 86,163.57 : x
  2. Step 2: Convert to fraction form
    285,859.89/428,851.76 = 86,163.57/x
  3. Step 3: Cross multiply
    285,859.89x = 428,851.76 × 86,163.57
  4. Step 4: Simplify right side
    285,859.89x = 36,951,398,211.57
  5. Step 5: Solve for x
    x = 36,951,398,211.57/285,859.89
  6. Step 6: Final answer
    x = 129,264.02

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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.