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Finding the Fourth Proportional to 285,921.80, 428,744.16 and 86,204.96

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Solution

The fourth proportional to 285,921.80, 428,744.16 and 86,204.96 is: 129,265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,921.80 : 428,744.16 = 86,204.96 : x
  2. Step 2: Convert to fraction form
    285,921.80/428,744.16 = 86,204.96/x
  3. Step 3: Cross multiply
    285,921.80x = 428,744.16 × 86,204.96
  4. Step 4: Simplify right side
    285,921.80x = 36,959,873,163.03
  5. Step 5: Solve for x
    x = 36,959,873,163.03/285,921.80
  6. Step 6: Final answer
    x = 129,265.67

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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.