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Finding the Fourth Proportional to 198,471.40, 298,052.70 and 105,159.40

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Solution

The fourth proportional to 198,471.40, 298,052.70 and 105,159.40 is: 157,922.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,471.40 : 298,052.70 = 105,159.40 : x
  2. Step 2: Convert to fraction form
    198,471.40/298,052.70 = 105,159.40/x
  3. Step 3: Cross multiply
    198,471.40x = 298,052.70 × 105,159.40
  4. Step 4: Simplify right side
    198,471.40x = 31,343,043,100.38
  5. Step 5: Solve for x
    x = 31,343,043,100.38/198,471.40
  6. Step 6: Final answer
    x = 157,922.21

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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.