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Finding the Fourth Proportional to 198,967.91, 274,581.02 and 108,327.69

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Solution

The fourth proportional to 198,967.91, 274,581.02 and 108,327.69 is: 149,495.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,967.91 : 274,581.02 = 108,327.69 : x
  2. Step 2: Convert to fraction form
    198,967.91/274,581.02 = 108,327.69/x
  3. Step 3: Cross multiply
    198,967.91x = 274,581.02 × 108,327.69
  4. Step 4: Simplify right side
    198,967.91x = 29,744,727,885.26
  5. Step 5: Solve for x
    x = 29,744,727,885.26/198,967.91
  6. Step 6: Final answer
    x = 149,495.11

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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.