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Finding the Fourth Proportional to 198,117.60, 297,214.80 and 99,621.60

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Solution

The fourth proportional to 198,117.60, 297,214.80 and 99,621.60 is: 149,451.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,117.60 : 297,214.80 = 99,621.60 : x
  2. Step 2: Convert to fraction form
    198,117.60/297,214.80 = 99,621.60/x
  3. Step 3: Cross multiply
    198,117.60x = 297,214.80 × 99,621.60
  4. Step 4: Simplify right side
    198,117.60x = 29,609,013,919.68
  5. Step 5: Solve for x
    x = 29,609,013,919.68/198,117.60
  6. Step 6: Final answer
    x = 149,451.71

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1.5x scale

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.