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Finding the Fourth Proportional to 203,799.11, 305,751.53 and 77,441.54

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Solution

The fourth proportional to 203,799.11, 305,751.53 and 77,441.54 is: 116,182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,799.11 : 305,751.53 = 77,441.54 : x
  2. Step 2: Convert to fraction form
    203,799.11/305,751.53 = 77,441.54/x
  3. Step 3: Cross multiply
    203,799.11x = 305,751.53 × 77,441.54
  4. Step 4: Simplify right side
    203,799.11x = 23,677,869,717.73
  5. Step 5: Solve for x
    x = 23,677,869,717.73/203,799.11
  6. Step 6: Final answer
    x = 116,182.40

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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.