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Finding the Fourth Proportional to 198,509.20, 297,699.81 and 65,357.76

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Solution

The fourth proportional to 198,509.20, 297,699.81 and 65,357.76 is: 98,015.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,509.20 : 297,699.81 = 65,357.76 : x
  2. Step 2: Convert to fraction form
    198,509.20/297,699.81 = 65,357.76/x
  3. Step 3: Cross multiply
    198,509.20x = 297,699.81 × 65,357.76
  4. Step 4: Simplify right side
    198,509.20x = 19,456,991,245.53
  5. Step 5: Solve for x
    x = 19,456,991,245.53/198,509.20
  6. Step 6: Final answer
    x = 98,015.56

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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.