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Finding the Fourth Proportional to 83,398.78, 115,110.60 and 51,548.50

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Solution

The fourth proportional to 83,398.78, 115,110.60 and 51,548.50 is: 71,149.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,398.78 : 115,110.60 = 51,548.50 : x
  2. Step 2: Convert to fraction form
    83,398.78/115,110.60 = 51,548.50/x
  3. Step 3: Cross multiply
    83,398.78x = 115,110.60 × 51,548.50
  4. Step 4: Simplify right side
    83,398.78x = 5,933,778,764.10
  5. Step 5: Solve for x
    x = 5,933,778,764.10/83,398.78
  6. Step 6: Final answer
    x = 71,149.47

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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.