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Finding the Fourth Proportional to 198,250, 273,403.50 and 130,240

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Solution

The fourth proportional to 198,250, 273,403.50 and 130,240 is: 179,611.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,250 : 273,403.50 = 130,240 : x
  2. Step 2: Convert to fraction form
    198,250/273,403.50 = 130,240/x
  3. Step 3: Cross multiply
    198,250x = 273,403.50 × 130,240
  4. Step 4: Simplify right side
    198,250x = 35,608,071,840
  5. Step 5: Solve for x
    x = 35,608,071,840/198,250
  6. Step 6: Final answer
    x = 179,611.96

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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.