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Finding the Fourth Proportional to 144,304.88, 199,137.02 and 80,643.20

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Solution

The fourth proportional to 144,304.88, 199,137.02 and 80,643.20 is: 111,285.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,304.88 : 199,137.02 = 80,643.20 : x
  2. Step 2: Convert to fraction form
    144,304.88/199,137.02 = 80,643.20/x
  3. Step 3: Cross multiply
    144,304.88x = 199,137.02 × 80,643.20
  4. Step 4: Simplify right side
    144,304.88x = 16,059,045,132.36
  5. Step 5: Solve for x
    x = 16,059,045,132.36/144,304.88
  6. Step 6: Final answer
    x = 111,285.53

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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.