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Finding the Fourth Proportional to 81,563.58, 122,330.76 and 22,391.46

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Solution

The fourth proportional to 81,563.58, 122,330.76 and 22,391.46 is: 33,583.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,563.58 : 122,330.76 = 22,391.46 : x
  2. Step 2: Convert to fraction form
    81,563.58/122,330.76 = 22,391.46/x
  3. Step 3: Cross multiply
    81,563.58x = 122,330.76 × 22,391.46
  4. Step 4: Simplify right side
    81,563.58x = 2,739,164,319.31
  5. Step 5: Solve for x
    x = 2,739,164,319.31/81,563.58
  6. Step 6: Final answer
    x = 33,583.18

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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.