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Finding the Fourth Proportional to 84,129.65, 126,218.90 and 27,202.33

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Solution

The fourth proportional to 84,129.65, 126,218.90 and 27,202.33 is: 40,811.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,129.65 : 126,218.90 = 27,202.33 : x
  2. Step 2: Convert to fraction form
    84,129.65/126,218.90 = 27,202.33/x
  3. Step 3: Cross multiply
    84,129.65x = 126,218.90 × 27,202.33
  4. Step 4: Simplify right side
    84,129.65x = 3,433,448,170.04
  5. Step 5: Solve for x
    x = 3,433,448,170.04/84,129.65
  6. Step 6: Final answer
    x = 40,811.39

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1.5x scale

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.