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Finding the Fourth Proportional to 198,019.60, 297,029.40 and 119,287.60

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Solution

The fourth proportional to 198,019.60, 297,029.40 and 119,287.60 is: 178,931.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,019.60 : 297,029.40 = 119,287.60 : x
  2. Step 2: Convert to fraction form
    198,019.60/297,029.40 = 119,287.60/x
  3. Step 3: Cross multiply
    198,019.60x = 297,029.40 × 119,287.60
  4. Step 4: Simplify right side
    198,019.60x = 35,431,924,255.44
  5. Step 5: Solve for x
    x = 35,431,924,255.44/198,019.60
  6. Step 6: Final answer
    x = 178,931.40

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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.