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Finding the Fourth Proportional to 203,365, 305,073.01 and 61,188.13

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Solution

The fourth proportional to 203,365, 305,073.01 and 61,188.13 is: 91,789.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,365 : 305,073.01 = 61,188.13 : x
  2. Step 2: Convert to fraction form
    203,365/305,073.01 = 61,188.13/x
  3. Step 3: Cross multiply
    203,365x = 305,073.01 × 61,188.13
  4. Step 4: Simplify right side
    203,365x = 18,666,846,995.37
  5. Step 5: Solve for x
    x = 18,666,846,995.37/203,365
  6. Step 6: Final answer
    x = 91,789.87

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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.