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Finding the Fourth Proportional to 159,369.26, 219,929.85 and 86,771.79

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Solution

The fourth proportional to 159,369.26, 219,929.85 and 86,771.79 is: 119,745.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,369.26 : 219,929.85 = 86,771.79 : x
  2. Step 2: Convert to fraction form
    159,369.26/219,929.85 = 86,771.79/x
  3. Step 3: Cross multiply
    159,369.26x = 219,929.85 × 86,771.79
  4. Step 4: Simplify right side
    159,369.26x = 19,083,706,758.93
  5. Step 5: Solve for x
    x = 19,083,706,758.93/159,369.26
  6. Step 6: Final answer
    x = 119,745.22

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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.