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Finding the Fourth Proportional to 51,531.78, 77,694.92 and 51,211.92

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Solution

The fourth proportional to 51,531.78, 77,694.92 and 51,211.92 is: 77,212.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,531.78 : 77,694.92 = 51,211.92 : x
  2. Step 2: Convert to fraction form
    51,531.78/77,694.92 = 51,211.92/x
  3. Step 3: Cross multiply
    51,531.78x = 77,694.92 × 51,211.92
  4. Step 4: Simplify right side
    51,531.78x = 3,978,906,027.45
  5. Step 5: Solve for x
    x = 3,978,906,027.45/51,531.78
  6. Step 6: Final answer
    x = 77,212.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.