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Finding the Fourth Proportional to 203,472, 305,216.64 and 55,728

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Solution

The fourth proportional to 203,472, 305,216.64 and 55,728 is: 83,594.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,472 : 305,216.64 = 55,728 : x
  2. Step 2: Convert to fraction form
    203,472/305,216.64 = 55,728/x
  3. Step 3: Cross multiply
    203,472x = 305,216.64 × 55,728
  4. Step 4: Simplify right side
    203,472x = 17,009,112,913.92
  5. Step 5: Solve for x
    x = 17,009,112,913.92/203,472
  6. Step 6: Final answer
    x = 83,594.37

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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.