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Finding the Fourth Proportional to 81,694.76, 112,739.22 and 45,884.78

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Solution

The fourth proportional to 81,694.76, 112,739.22 and 45,884.78 is: 63,321.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,694.76 : 112,739.22 = 45,884.78 : x
  2. Step 2: Convert to fraction form
    81,694.76/112,739.22 = 45,884.78/x
  3. Step 3: Cross multiply
    81,694.76x = 112,739.22 × 45,884.78
  4. Step 4: Simplify right side
    81,694.76x = 5,173,014,307.07
  5. Step 5: Solve for x
    x = 5,173,014,307.07/81,694.76
  6. Step 6: Final answer
    x = 63,321.25

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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.