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Finding the Fourth Proportional to 81,881.49, 122,822.24 and 45,178.77

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Solution

The fourth proportional to 81,881.49, 122,822.24 and 45,178.77 is: 67,768.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,881.49 : 122,822.24 = 45,178.77 : x
  2. Step 2: Convert to fraction form
    81,881.49/122,822.24 = 45,178.77/x
  3. Step 3: Cross multiply
    81,881.49x = 122,822.24 × 45,178.77
  4. Step 4: Simplify right side
    81,881.49x = 5,548,957,505.95
  5. Step 5: Solve for x
    x = 5,548,957,505.95/81,881.49
  6. Step 6: Final answer
    x = 67,768.16

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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.