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Finding the Fourth Proportional to 203,608, 305,417.76 and 55,864

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Solution

The fourth proportional to 203,608, 305,417.76 and 55,864 is: 83,797.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,608 : 305,417.76 = 55,864 : x
  2. Step 2: Convert to fraction form
    203,608/305,417.76 = 55,864/x
  3. Step 3: Cross multiply
    203,608x = 305,417.76 × 55,864
  4. Step 4: Simplify right side
    203,608x = 17,061,857,744.64
  5. Step 5: Solve for x
    x = 17,061,857,744.64/203,608
  6. Step 6: Final answer
    x = 83,797.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.