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Finding the Fourth Proportional to 144,138.88, 198,909.84 and 80,477.20

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Solution

The fourth proportional to 144,138.88, 198,909.84 and 80,477.20 is: 111,057.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,138.88 : 198,909.84 = 80,477.20 : x
  2. Step 2: Convert to fraction form
    144,138.88/198,909.84 = 80,477.20/x
  3. Step 3: Cross multiply
    144,138.88x = 198,909.84 × 80,477.20
  4. Step 4: Simplify right side
    144,138.88x = 16,007,706,975.65
  5. Step 5: Solve for x
    x = 16,007,706,975.65/144,138.88
  6. Step 6: Final answer
    x = 111,057.52

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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.