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Finding the Fourth Proportional to 198,784.31, 298,113.21 and 65,639.75

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Solution

The fourth proportional to 198,784.31, 298,113.21 and 65,639.75 is: 98,438.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,784.31 : 298,113.21 = 65,639.75 : x
  2. Step 2: Convert to fraction form
    198,784.31/298,113.21 = 65,639.75/x
  3. Step 3: Cross multiply
    198,784.31x = 298,113.21 × 65,639.75
  4. Step 4: Simplify right side
    198,784.31x = 19,568,075,085.53
  5. Step 5: Solve for x
    x = 19,568,075,085.53/198,784.31
  6. Step 6: Final answer
    x = 98,438.73

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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.