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Finding the Fourth Proportional to 203,904.45, 305,856.68 and 133,045.65

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Solution

The fourth proportional to 203,904.45, 305,856.68 and 133,045.65 is: 199,568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,904.45 : 305,856.68 = 133,045.65 : x
  2. Step 2: Convert to fraction form
    203,904.45/305,856.68 = 133,045.65/x
  3. Step 3: Cross multiply
    203,904.45x = 305,856.68 × 133,045.65
  4. Step 4: Simplify right side
    203,904.45x = 40,692,900,132.21
  5. Step 5: Solve for x
    x = 40,692,900,132.21/203,904.45
  6. Step 6: Final answer
    x = 199,568.48

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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.