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Finding the Fourth Proportional to 81,738, 121,891.73 and 80,990.64

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Solution

The fourth proportional to 81,738, 121,891.73 and 80,990.64 is: 120,777.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,738 : 121,891.73 = 80,990.64 : x
  2. Step 2: Convert to fraction form
    81,738/121,891.73 = 80,990.64/x
  3. Step 3: Cross multiply
    81,738x = 121,891.73 × 80,990.64
  4. Step 4: Simplify right side
    81,738x = 9,872,088,818.45
  5. Step 5: Solve for x
    x = 9,872,088,818.45/81,738
  6. Step 6: Final answer
    x = 120,777.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.