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Finding the Fourth Proportional to 235,475.60, 353,213.40 and 135,942.80

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Solution

The fourth proportional to 235,475.60, 353,213.40 and 135,942.80 is: 203,914.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,475.60 : 353,213.40 = 135,942.80 : x
  2. Step 2: Convert to fraction form
    235,475.60/353,213.40 = 135,942.80/x
  3. Step 3: Cross multiply
    235,475.60x = 353,213.40 × 135,942.80
  4. Step 4: Simplify right side
    235,475.60x = 48,016,818,593.52
  5. Step 5: Solve for x
    x = 48,016,818,593.52/235,475.60
  6. Step 6: Final answer
    x = 203,914.20

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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.