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Finding the Fourth Proportional to 81,881.74, 122,822.61 and 45,179.02

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Solution

The fourth proportional to 81,881.74, 122,822.61 and 45,179.02 is: 67,768.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,881.74 : 122,822.61 = 45,179.02 : x
  2. Step 2: Convert to fraction form
    81,881.74/122,822.61 = 45,179.02/x
  3. Step 3: Cross multiply
    81,881.74x = 122,822.61 × 45,179.02
  4. Step 4: Simplify right side
    81,881.74x = 5,549,005,153.64
  5. Step 5: Solve for x
    x = 5,549,005,153.64/81,881.74
  6. Step 6: Final answer
    x = 67,768.53

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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.