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Finding the Fourth Proportional to 49,664.70, 74,489.76 and 20,081.88

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Solution

The fourth proportional to 49,664.70, 74,489.76 and 20,081.88 is: 30,119.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,664.70 : 74,489.76 = 20,081.88 : x
  2. Step 2: Convert to fraction form
    49,664.70/74,489.76 = 20,081.88/x
  3. Step 3: Cross multiply
    49,664.70x = 74,489.76 × 20,081.88
  4. Step 4: Simplify right side
    49,664.70x = 1,495,894,421.55
  5. Step 5: Solve for x
    x = 1,495,894,421.55/49,664.70
  6. Step 6: Final answer
    x = 30,119.87

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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.