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Finding the Fourth Proportional to 198,111.96, 297,164.70 and 79,780.32

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Solution

The fourth proportional to 198,111.96, 297,164.70 and 79,780.32 is: 119,669.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,111.96 : 297,164.70 = 79,780.32 : x
  2. Step 2: Convert to fraction form
    198,111.96/297,164.70 = 79,780.32/x
  3. Step 3: Cross multiply
    198,111.96x = 297,164.70 × 79,780.32
  4. Step 4: Simplify right side
    198,111.96x = 23,707,894,858.70
  5. Step 5: Solve for x
    x = 23,707,894,858.70/198,111.96
  6. Step 6: Final answer
    x = 119,669.18

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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.