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Finding the Fourth Proportional to 80,991.80, 121,430.10 and 31,052.60

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Solution

The fourth proportional to 80,991.80, 121,430.10 and 31,052.60 is: 46,556.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,991.80 : 121,430.10 = 31,052.60 : x
  2. Step 2: Convert to fraction form
    80,991.80/121,430.10 = 31,052.60/x
  3. Step 3: Cross multiply
    80,991.80x = 121,430.10 × 31,052.60
  4. Step 4: Simplify right side
    80,991.80x = 3,770,720,323.26
  5. Step 5: Solve for x
    x = 3,770,720,323.26/80,991.80
  6. Step 6: Final answer
    x = 46,556.82

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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.