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Finding the Fourth Proportional to 203,697.54, 305,530.65 and 83,721.69

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Solution

The fourth proportional to 203,697.54, 305,530.65 and 83,721.69 is: 125,576.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,697.54 : 305,530.65 = 83,721.69 : x
  2. Step 2: Convert to fraction form
    203,697.54/305,530.65 = 83,721.69/x
  3. Step 3: Cross multiply
    203,697.54x = 305,530.65 × 83,721.69
  4. Step 4: Simplify right side
    203,697.54x = 25,579,542,364.80
  5. Step 5: Solve for x
    x = 25,579,542,364.80/203,697.54
  6. Step 6: Final answer
    x = 125,576.10

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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.