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Finding the Fourth Proportional to 198,987.83, 274,609.94 and 108,347.31

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Solution

The fourth proportional to 198,987.83, 274,609.94 and 108,347.31 is: 149,522.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,987.83 : 274,609.94 = 108,347.31 : x
  2. Step 2: Convert to fraction form
    198,987.83/274,609.94 = 108,347.31/x
  3. Step 3: Cross multiply
    198,987.83x = 274,609.94 × 108,347.31
  4. Step 4: Simplify right side
    198,987.83x = 29,753,247,756.52
  5. Step 5: Solve for x
    x = 29,753,247,756.52/198,987.83
  6. Step 6: Final answer
    x = 149,522.96

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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.