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Finding the Fourth Proportional to 198,280.82, 273,629.50 and 107,637.50

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Solution

The fourth proportional to 198,280.82, 273,629.50 and 107,637.50 is: 148,540.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,280.82 : 273,629.50 = 107,637.50 : x
  2. Step 2: Convert to fraction form
    198,280.82/273,629.50 = 107,637.50/x
  3. Step 3: Cross multiply
    198,280.82x = 273,629.50 × 107,637.50
  4. Step 4: Simplify right side
    198,280.82x = 29,452,795,306.25
  5. Step 5: Solve for x
    x = 29,452,795,306.25/198,280.82
  6. Step 6: Final answer
    x = 148,540.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.