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Finding the Fourth Proportional to 51,469.48, 77,207.28 and 19,879.78

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Solution

The fourth proportional to 51,469.48, 77,207.28 and 19,879.78 is: 29,820.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,469.48 : 77,207.28 = 19,879.78 : x
  2. Step 2: Convert to fraction form
    51,469.48/77,207.28 = 19,879.78/x
  3. Step 3: Cross multiply
    51,469.48x = 77,207.28 × 19,879.78
  4. Step 4: Simplify right side
    51,469.48x = 1,534,863,740.80
  5. Step 5: Solve for x
    x = 1,534,863,740.80/51,469.48
  6. Step 6: Final answer
    x = 29,820.85

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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.