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Finding the Fourth Proportional to 51,331, 70,836.78 and 27,779

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Solution

The fourth proportional to 51,331, 70,836.78 and 27,779 is: 38,335.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,331 : 70,836.78 = 27,779 : x
  2. Step 2: Convert to fraction form
    51,331/70,836.78 = 27,779/x
  3. Step 3: Cross multiply
    51,331x = 70,836.78 × 27,779
  4. Step 4: Simplify right side
    51,331x = 1,967,774,911.62
  5. Step 5: Solve for x
    x = 1,967,774,911.62/51,331
  6. Step 6: Final answer
    x = 38,335.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.