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Finding the Fourth Proportional to 144,382.74, 199,266.69 and 80,724

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Solution

The fourth proportional to 144,382.74, 199,266.69 and 80,724 is: 111,409.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,382.74 : 199,266.69 = 80,724 : x
  2. Step 2: Convert to fraction form
    144,382.74/199,266.69 = 80,724/x
  3. Step 3: Cross multiply
    144,382.74x = 199,266.69 × 80,724
  4. Step 4: Simplify right side
    144,382.74x = 16,085,604,283.56
  5. Step 5: Solve for x
    x = 16,085,604,283.56/144,382.74
  6. Step 6: Final answer
    x = 111,409.47

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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.