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Finding the Fourth Proportional to 81,220.80, 121,851.98 and 31,287.49

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Solution

The fourth proportional to 81,220.80, 121,851.98 and 31,287.49 is: 46,939.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,220.80 : 121,851.98 = 31,287.49 : x
  2. Step 2: Convert to fraction form
    81,220.80/121,851.98 = 31,287.49/x
  3. Step 3: Cross multiply
    81,220.80x = 121,851.98 × 31,287.49
  4. Step 4: Simplify right side
    81,220.80x = 3,812,442,144.66
  5. Step 5: Solve for x
    x = 3,812,442,144.66/81,220.80
  6. Step 6: Final answer
    x = 46,939.24

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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.