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Finding the Fourth Proportional to 106,816, 160,251.36 and 40,256.68

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Solution

The fourth proportional to 106,816, 160,251.36 and 40,256.68 is: 60,395.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,816 : 160,251.36 = 40,256.68 : x
  2. Step 2: Convert to fraction form
    106,816/160,251.36 = 40,256.68/x
  3. Step 3: Cross multiply
    106,816x = 160,251.36 × 40,256.68
  4. Step 4: Simplify right side
    106,816x = 6,451,187,719.08
  5. Step 5: Solve for x
    x = 6,451,187,719.08/106,816
  6. Step 6: Final answer
    x = 60,395.33

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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.