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Finding the Fourth Proportional to 81,750.74, 112,816.41 and 47,761.16

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Solution

The fourth proportional to 81,750.74, 112,816.41 and 47,761.16 is: 65,910.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,750.74 : 112,816.41 = 47,761.16 : x
  2. Step 2: Convert to fraction form
    81,750.74/112,816.41 = 47,761.16/x
  3. Step 3: Cross multiply
    81,750.74x = 112,816.41 × 47,761.16
  4. Step 4: Simplify right side
    81,750.74x = 5,388,242,608.64
  5. Step 5: Solve for x
    x = 5,388,242,608.64/81,750.74
  6. Step 6: Final answer
    x = 65,910.63

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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.