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Finding the Fourth Proportional to 81,979.70, 122,969.55 and 40,421.30

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Solution

The fourth proportional to 81,979.70, 122,969.55 and 40,421.30 is: 60,631.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,979.70 : 122,969.55 = 40,421.30 : x
  2. Step 2: Convert to fraction form
    81,979.70/122,969.55 = 40,421.30/x
  3. Step 3: Cross multiply
    81,979.70x = 122,969.55 × 40,421.30
  4. Step 4: Simplify right side
    81,979.70x = 4,970,589,071.42
  5. Step 5: Solve for x
    x = 4,970,589,071.42/81,979.70
  6. Step 6: Final answer
    x = 60,631.95

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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.