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Finding the Fourth Proportional to 159,471.78, 239,208.01 and 149,728.70

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Solution

The fourth proportional to 159,471.78, 239,208.01 and 149,728.70 is: 224,593.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,471.78 : 239,208.01 = 149,728.70 : x
  2. Step 2: Convert to fraction form
    159,471.78/239,208.01 = 149,728.70/x
  3. Step 3: Cross multiply
    159,471.78x = 239,208.01 × 149,728.70
  4. Step 4: Simplify right side
    159,471.78x = 35,816,302,796.53
  5. Step 5: Solve for x
    x = 35,816,302,796.53/159,471.78
  6. Step 6: Final answer
    x = 224,593.36

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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.