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Finding the Fourth Proportional to 285,637.38, 428,516.01 and 85,972.38

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Solution

The fourth proportional to 285,637.38, 428,516.01 and 85,972.38 is: 128,976.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,637.38 : 428,516.01 = 85,972.38 : x
  2. Step 2: Convert to fraction form
    285,637.38/428,516.01 = 85,972.38/x
  3. Step 3: Cross multiply
    285,637.38x = 428,516.01 × 85,972.38
  4. Step 4: Simplify right side
    285,637.38x = 36,840,541,247.80
  5. Step 5: Solve for x
    x = 36,840,541,247.80/285,637.38
  6. Step 6: Final answer
    x = 128,976.61

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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.