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Finding the Fourth Proportional to 157,843.48, 217,821.26 and 86,221.66

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Solution

The fourth proportional to 157,843.48, 217,821.26 and 86,221.66 is: 118,984.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,843.48 : 217,821.26 = 86,221.66 : x
  2. Step 2: Convert to fraction form
    157,843.48/217,821.26 = 86,221.66/x
  3. Step 3: Cross multiply
    157,843.48x = 217,821.26 × 86,221.66
  4. Step 4: Simplify right side
    157,843.48x = 18,780,910,620.49
  5. Step 5: Solve for x
    x = 18,780,910,620.49/157,843.48
  6. Step 6: Final answer
    x = 118,984.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.