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Finding the Fourth Proportional to 109,706.88, 164,568 and 54,288

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Solution

The fourth proportional to 109,706.88, 164,568 and 54,288 is: 81,435.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,706.88 : 164,568 = 54,288 : x
  2. Step 2: Convert to fraction form
    109,706.88/164,568 = 54,288/x
  3. Step 3: Cross multiply
    109,706.88x = 164,568 × 54,288
  4. Step 4: Simplify right side
    109,706.88x = 8,934,067,584
  5. Step 5: Solve for x
    x = 8,934,067,584/109,706.88
  6. Step 6: Final answer
    x = 81,435.80

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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.