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Finding the Fourth Proportional to 144,891.69, 199,950.40 and 81,229.50

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Solution

The fourth proportional to 144,891.69, 199,950.40 and 81,229.50 is: 112,096.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,891.69 : 199,950.40 = 81,229.50 : x
  2. Step 2: Convert to fraction form
    144,891.69/199,950.40 = 81,229.50/x
  3. Step 3: Cross multiply
    144,891.69x = 199,950.40 × 81,229.50
  4. Step 4: Simplify right side
    144,891.69x = 16,241,871,016.80
  5. Step 5: Solve for x
    x = 16,241,871,016.80/144,891.69
  6. Step 6: Final answer
    x = 112,096.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.