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Finding the Fourth Proportional to 285,845.80, 428,630.22 and 86,128.96

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Solution

The fourth proportional to 285,845.80, 428,630.22 and 86,128.96 is: 129,151.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,845.80 : 428,630.22 = 86,128.96 : x
  2. Step 2: Convert to fraction form
    285,845.80/428,630.22 = 86,128.96/x
  3. Step 3: Cross multiply
    285,845.80x = 428,630.22 × 86,128.96
  4. Step 4: Simplify right side
    285,845.80x = 36,917,475,073.17
  5. Step 5: Solve for x
    x = 36,917,475,073.17/285,845.80
  6. Step 6: Final answer
    x = 129,151.71

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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.