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Finding the Fourth Proportional to 259,943.52, 389,835.90 and 110,181

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Solution

The fourth proportional to 259,943.52, 389,835.90 and 110,181 is: 165,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,943.52 : 389,835.90 = 110,181 : x
  2. Step 2: Convert to fraction form
    259,943.52/389,835.90 = 110,181/x
  3. Step 3: Cross multiply
    259,943.52x = 389,835.90 × 110,181
  4. Step 4: Simplify right side
    259,943.52x = 42,952,509,297.90
  5. Step 5: Solve for x
    x = 42,952,509,297.90/259,943.52
  6. Step 6: Final answer
    x = 165,237.85

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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.