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Finding the Fourth Proportional to 135,904.80, 203,857.20 and 83,343.90

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Solution

The fourth proportional to 135,904.80, 203,857.20 and 83,343.90 is: 125,015.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,904.80 : 203,857.20 = 83,343.90 : x
  2. Step 2: Convert to fraction form
    135,904.80/203,857.20 = 83,343.90/x
  3. Step 3: Cross multiply
    135,904.80x = 203,857.20 × 83,343.90
  4. Step 4: Simplify right side
    135,904.80x = 16,990,254,091.08
  5. Step 5: Solve for x
    x = 16,990,254,091.08/135,904.80
  6. Step 6: Final answer
    x = 125,015.85

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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.