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Finding the Fourth Proportional to 81,755.42, 112,802.77 and 47,744.60

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Solution

The fourth proportional to 81,755.42, 112,802.77 and 47,744.60 is: 65,876.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,755.42 : 112,802.77 = 47,744.60 : x
  2. Step 2: Convert to fraction form
    81,755.42/112,802.77 = 47,744.60/x
  3. Step 3: Cross multiply
    81,755.42x = 112,802.77 × 47,744.60
  4. Step 4: Simplify right side
    81,755.42x = 5,385,723,132.54
  5. Step 5: Solve for x
    x = 5,385,723,132.54/81,755.42
  6. Step 6: Final answer
    x = 65,876.04

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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.