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Finding the Fourth Proportional to 134,770,845.60, 202,288,978.80 and 66,690,410.40

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Solution

The fourth proportional to 134,770,845.60, 202,288,978.80 and 66,690,410.40 is: 100,101,286.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,770,845.60 : 202,288,978.80 = 66,690,410.40 : x
  2. Step 2: Convert to fraction form
    134,770,845.60/202,288,978.80 = 66,690,410.40/x
  3. Step 3: Cross multiply
    134,770,845.60x = 202,288,978.80 × 66,690,410.40
  4. Step 4: Simplify right side
    134,770,845.60x = 13,490,735,015,568,900
  5. Step 5: Solve for x
    x = 13,490,735,015,568,900/134,770,845.60
  6. Step 6: Final answer
    x = 100,101,286.41

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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.