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Finding the Fourth Proportional to 203,424.27, 305,094.66 and 77,021.01

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Solution

The fourth proportional to 203,424.27, 305,094.66 and 77,021.01 is: 115,515.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,424.27 : 305,094.66 = 77,021.01 : x
  2. Step 2: Convert to fraction form
    203,424.27/305,094.66 = 77,021.01/x
  3. Step 3: Cross multiply
    203,424.27x = 305,094.66 × 77,021.01
  4. Step 4: Simplify right side
    203,424.27x = 23,498,698,473.70
  5. Step 5: Solve for x
    x = 23,498,698,473.70/203,424.27
  6. Step 6: Final answer
    x = 115,515.71

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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.