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Finding the Fourth Proportional to 159,715.82, 239,729.54 and 131,919.05

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Solution

The fourth proportional to 159,715.82, 239,729.54 and 131,919.05 is: 198,007.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,715.82 : 239,729.54 = 131,919.05 : x
  2. Step 2: Convert to fraction form
    159,715.82/239,729.54 = 131,919.05/x
  3. Step 3: Cross multiply
    159,715.82x = 239,729.54 × 131,919.05
  4. Step 4: Simplify right side
    159,715.82x = 31,624,893,173.74
  5. Step 5: Solve for x
    x = 31,624,893,173.74/159,715.82
  6. Step 6: Final answer
    x = 198,007.27

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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.