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Finding the Fourth Proportional to 235,380.88, 352,872.28 and 102,161

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Solution

The fourth proportional to 235,380.88, 352,872.28 and 102,161 is: 153,155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,380.88 : 352,872.28 = 102,161 : x
  2. Step 2: Convert to fraction form
    235,380.88/352,872.28 = 102,161/x
  3. Step 3: Cross multiply
    235,380.88x = 352,872.28 × 102,161
  4. Step 4: Simplify right side
    235,380.88x = 36,049,784,997.08
  5. Step 5: Solve for x
    x = 36,049,784,997.08/235,380.88
  6. Step 6: Final answer
    x = 153,155.11

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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.