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Finding the Fourth Proportional to 159,195.78, 219,683.25 and 87,571.26

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Solution

The fourth proportional to 159,195.78, 219,683.25 and 87,571.26 is: 120,844.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,195.78 : 219,683.25 = 87,571.26 : x
  2. Step 2: Convert to fraction form
    159,195.78/219,683.25 = 87,571.26/x
  3. Step 3: Cross multiply
    159,195.78x = 219,683.25 × 87,571.26
  4. Step 4: Simplify right side
    159,195.78x = 19,237,939,003.40
  5. Step 5: Solve for x
    x = 19,237,939,003.40/159,195.78
  6. Step 6: Final answer
    x = 120,844.53

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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.