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Finding the Fourth Proportional to 106,102.78, 159,154.21 and 27,217

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Solution

The fourth proportional to 106,102.78, 159,154.21 and 27,217 is: 40,825.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,102.78 : 159,154.21 = 27,217 : x
  2. Step 2: Convert to fraction form
    106,102.78/159,154.21 = 27,217/x
  3. Step 3: Cross multiply
    106,102.78x = 159,154.21 × 27,217
  4. Step 4: Simplify right side
    106,102.78x = 4,331,700,133.57
  5. Step 5: Solve for x
    x = 4,331,700,133.57/106,102.78
  6. Step 6: Final answer
    x = 40,825.51

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1.5x scale

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.