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Finding the Fourth Proportional to 138,992.60, 191,772.54 and 82,357.08

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Solution

The fourth proportional to 138,992.60, 191,772.54 and 82,357.08 is: 113,630.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,992.60 : 191,772.54 = 82,357.08 : x
  2. Step 2: Convert to fraction form
    138,992.60/191,772.54 = 82,357.08/x
  3. Step 3: Cross multiply
    138,992.60x = 191,772.54 × 82,357.08
  4. Step 4: Simplify right side
    138,992.60x = 15,793,826,418.58
  5. Step 5: Solve for x
    x = 15,793,826,418.58/138,992.60
  6. Step 6: Final answer
    x = 113,630.70

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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.