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Finding the Fourth Proportional to 81,740.52, 112,812.34 and 49,902.60

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Solution

The fourth proportional to 81,740.52, 112,812.34 and 49,902.60 is: 68,871.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,740.52 : 112,812.34 = 49,902.60 : x
  2. Step 2: Convert to fraction form
    81,740.52/112,812.34 = 49,902.60/x
  3. Step 3: Cross multiply
    81,740.52x = 112,812.34 × 49,902.60
  4. Step 4: Simplify right side
    81,740.52x = 5,629,629,078.08
  5. Step 5: Solve for x
    x = 5,629,629,078.08/81,740.52
  6. Step 6: Final answer
    x = 68,871.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.