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Finding the Fourth Proportional to 198,794.58, 298,010.61 and 127,736.52

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Solution

The fourth proportional to 198,794.58, 298,010.61 and 127,736.52 is: 191,488.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,794.58 : 298,010.61 = 127,736.52 : x
  2. Step 2: Convert to fraction form
    198,794.58/298,010.61 = 127,736.52/x
  3. Step 3: Cross multiply
    198,794.58x = 298,010.61 × 127,736.52
  4. Step 4: Simplify right side
    198,794.58x = 38,066,838,244.48
  5. Step 5: Solve for x
    x = 38,066,838,244.48/198,794.58
  6. Step 6: Final answer
    x = 191,488.31

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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.