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Finding the Fourth Proportional to 81,803.98, 122,708.72 and 22,634.70

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Solution

The fourth proportional to 81,803.98, 122,708.72 and 22,634.70 is: 33,952.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,803.98 : 122,708.72 = 22,634.70 : x
  2. Step 2: Convert to fraction form
    81,803.98/122,708.72 = 22,634.70/x
  3. Step 3: Cross multiply
    81,803.98x = 122,708.72 × 22,634.70
  4. Step 4: Simplify right side
    81,803.98x = 2,777,475,064.58
  5. Step 5: Solve for x
    x = 2,777,475,064.58/81,803.98
  6. Step 6: Final answer
    x = 33,952.81

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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.