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Finding the Fourth Proportional to 198,567.50, 298,084.53 and 123,859.58

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Solution

The fourth proportional to 198,567.50, 298,084.53 and 123,859.58 is: 185,934.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,567.50 : 298,084.53 = 123,859.58 : x
  2. Step 2: Convert to fraction form
    198,567.50/298,084.53 = 123,859.58/x
  3. Step 3: Cross multiply
    198,567.50x = 298,084.53 × 123,859.58
  4. Step 4: Simplify right side
    198,567.50x = 36,920,625,435.51
  5. Step 5: Solve for x
    x = 36,920,625,435.51/198,567.50
  6. Step 6: Final answer
    x = 185,934.88

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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.