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Finding the Fourth Proportional to 203,487.20, 305,144.40 and 98,338.40

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Solution

The fourth proportional to 203,487.20, 305,144.40 and 98,338.40 is: 147,465.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,487.20 : 305,144.40 = 98,338.40 : x
  2. Step 2: Convert to fraction form
    203,487.20/305,144.40 = 98,338.40/x
  3. Step 3: Cross multiply
    203,487.20x = 305,144.40 × 98,338.40
  4. Step 4: Simplify right side
    203,487.20x = 30,007,412,064.96
  5. Step 5: Solve for x
    x = 30,007,412,064.96/203,487.20
  6. Step 6: Final answer
    x = 147,465.85

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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.