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Finding the Fourth Proportional to 198,734.40, 297,907.20 and 98,812.80

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Solution

The fourth proportional to 198,734.40, 297,907.20 and 98,812.80 is: 148,122.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,734.40 : 297,907.20 = 98,812.80 : x
  2. Step 2: Convert to fraction form
    198,734.40/297,907.20 = 98,812.80/x
  3. Step 3: Cross multiply
    198,734.40x = 297,907.20 × 98,812.80
  4. Step 4: Simplify right side
    198,734.40x = 29,437,044,572.16
  5. Step 5: Solve for x
    x = 29,437,044,572.16/198,734.40
  6. Step 6: Final answer
    x = 148,122.54

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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.