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Finding the Fourth Proportional to 49,988.68, 74,961 and 18,802

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Solution

The fourth proportional to 49,988.68, 74,961 and 18,802 is: 28,194.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,988.68 : 74,961 = 18,802 : x
  2. Step 2: Convert to fraction form
    49,988.68/74,961 = 18,802/x
  3. Step 3: Cross multiply
    49,988.68x = 74,961 × 18,802
  4. Step 4: Simplify right side
    49,988.68x = 1,409,416,722
  5. Step 5: Solve for x
    x = 1,409,416,722/49,988.68
  6. Step 6: Final answer
    x = 28,194.72

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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.