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Finding the Fourth Proportional to 159,286.56, 219,903.84 and 95,640

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Solution

The fourth proportional to 159,286.56, 219,903.84 and 95,640 is: 132,036.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,286.56 : 219,903.84 = 95,640 : x
  2. Step 2: Convert to fraction form
    159,286.56/219,903.84 = 95,640/x
  3. Step 3: Cross multiply
    159,286.56x = 219,903.84 × 95,640
  4. Step 4: Simplify right side
    159,286.56x = 21,031,603,257.60
  5. Step 5: Solve for x
    x = 21,031,603,257.60/159,286.56
  6. Step 6: Final answer
    x = 132,036.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.