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Finding the Fourth Proportional to 285,667.20, 428,193.60 and 108,105.60

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Solution

The fourth proportional to 285,667.20, 428,193.60 and 108,105.60 is: 162,042.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,667.20 : 428,193.60 = 108,105.60 : x
  2. Step 2: Convert to fraction form
    285,667.20/428,193.60 = 108,105.60/x
  3. Step 3: Cross multiply
    285,667.20x = 428,193.60 × 108,105.60
  4. Step 4: Simplify right side
    285,667.20x = 46,290,126,044.16
  5. Step 5: Solve for x
    x = 46,290,126,044.16/285,667.20
  6. Step 6: Final answer
    x = 162,042.15

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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.