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Finding the Fourth Proportional to 198,762.40, 298,489.20 and 105,450.40

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Solution

The fourth proportional to 198,762.40, 298,489.20 and 105,450.40 is: 158,358.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,762.40 : 298,489.20 = 105,450.40 : x
  2. Step 2: Convert to fraction form
    198,762.40/298,489.20 = 105,450.40/x
  3. Step 3: Cross multiply
    198,762.40x = 298,489.20 × 105,450.40
  4. Step 4: Simplify right side
    198,762.40x = 31,475,805,535.68
  5. Step 5: Solve for x
    x = 31,475,805,535.68/198,762.40
  6. Step 6: Final answer
    x = 158,358.95

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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.