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Finding the Fourth Proportional to 144,288, 199,116.83 and 80,625.80

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Solution

The fourth proportional to 144,288, 199,116.83 and 80,625.80 is: 111,263.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,288 : 199,116.83 = 80,625.80 : x
  2. Step 2: Convert to fraction form
    144,288/199,116.83 = 80,625.80/x
  3. Step 3: Cross multiply
    144,288x = 199,116.83 × 80,625.80
  4. Step 4: Simplify right side
    144,288x = 16,053,952,313.50
  5. Step 5: Solve for x
    x = 16,053,952,313.50/144,288
  6. Step 6: Final answer
    x = 111,263.25

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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.