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Finding the Fourth Proportional to 198,508.20, 297,698.31 and 65,356.76

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Solution

The fourth proportional to 198,508.20, 297,698.31 and 65,356.76 is: 98,014.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,508.20 : 297,698.31 = 65,356.76 : x
  2. Step 2: Convert to fraction form
    198,508.20/297,698.31 = 65,356.76/x
  3. Step 3: Cross multiply
    198,508.20x = 297,698.31 × 65,356.76
  4. Step 4: Simplify right side
    198,508.20x = 19,456,595,510.58
  5. Step 5: Solve for x
    x = 19,456,595,510.58/198,508.20
  6. Step 6: Final answer
    x = 98,014.06

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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.