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Finding the Fourth Proportional to 106,101.78, 159,152.71 and 27,216

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Solution

The fourth proportional to 106,101.78, 159,152.71 and 27,216 is: 40,824.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,101.78 : 159,152.71 = 27,216 : x
  2. Step 2: Convert to fraction form
    106,101.78/159,152.71 = 27,216/x
  3. Step 3: Cross multiply
    106,101.78x = 159,152.71 × 27,216
  4. Step 4: Simplify right side
    106,101.78x = 4,331,500,155.36
  5. Step 5: Solve for x
    x = 4,331,500,155.36/106,101.78
  6. Step 6: Final answer
    x = 40,824.01

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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.