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Finding the Fourth Proportional to 135,474.60, 202,993.20 and 85,465.20

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Solution

The fourth proportional to 135,474.60, 202,993.20 and 85,465.20 is: 128,059.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,474.60 : 202,993.20 = 85,465.20 : x
  2. Step 2: Convert to fraction form
    135,474.60/202,993.20 = 85,465.20/x
  3. Step 3: Cross multiply
    135,474.60x = 202,993.20 × 85,465.20
  4. Step 4: Simplify right side
    135,474.60x = 17,348,854,436.64
  5. Step 5: Solve for x
    x = 17,348,854,436.64/135,474.60
  6. Step 6: Final answer
    x = 128,059.83

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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.