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Finding the Fourth Proportional to 198,483.48, 297,758.34 and 91,974.15

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Solution

The fourth proportional to 198,483.48, 297,758.34 and 91,974.15 is: 137,976.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,483.48 : 297,758.34 = 91,974.15 : x
  2. Step 2: Convert to fraction form
    198,483.48/297,758.34 = 91,974.15/x
  3. Step 3: Cross multiply
    198,483.48x = 297,758.34 × 91,974.15
  4. Step 4: Simplify right side
    198,483.48x = 27,386,070,226.91
  5. Step 5: Solve for x
    x = 27,386,070,226.91/198,483.48
  6. Step 6: Final answer
    x = 137,976.57

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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.