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Finding the Fourth Proportional to 144,406.71, 216,716.49 and 68,505.48

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Solution

The fourth proportional to 144,406.71, 216,716.49 and 68,505.48 is: 102,808.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,406.71 : 216,716.49 = 68,505.48 : x
  2. Step 2: Convert to fraction form
    144,406.71/216,716.49 = 68,505.48/x
  3. Step 3: Cross multiply
    144,406.71x = 216,716.49 × 68,505.48
  4. Step 4: Simplify right side
    144,406.71x = 14,846,267,171.37
  5. Step 5: Solve for x
    x = 14,846,267,171.37/144,406.71
  6. Step 6: Final answer
    x = 102,808.71

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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.