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Finding the Fourth Proportional to 106,592.94, 159,736.85 and 78,291

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Solution

The fourth proportional to 106,592.94, 159,736.85 and 78,291 is: 117,324.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,592.94 : 159,736.85 = 78,291 : x
  2. Step 2: Convert to fraction form
    106,592.94/159,736.85 = 78,291/x
  3. Step 3: Cross multiply
    106,592.94x = 159,736.85 × 78,291
  4. Step 4: Simplify right side
    106,592.94x = 12,505,957,723.35
  5. Step 5: Solve for x
    x = 12,505,957,723.35/106,592.94
  6. Step 6: Final answer
    x = 117,324.45

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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.