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Finding the Fourth Proportional to 51,138.69, 76,741.02 and 21,556.68

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Solution

The fourth proportional to 51,138.69, 76,741.02 and 21,556.68 is: 32,348.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,138.69 : 76,741.02 = 21,556.68 : x
  2. Step 2: Convert to fraction form
    51,138.69/76,741.02 = 21,556.68/x
  3. Step 3: Cross multiply
    51,138.69x = 76,741.02 × 21,556.68
  4. Step 4: Simplify right side
    51,138.69x = 1,654,281,611.01
  5. Step 5: Solve for x
    x = 1,654,281,611.01/51,138.69
  6. Step 6: Final answer
    x = 32,348.92

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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.