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Finding the Fourth Proportional to 144,140.76, 198,913.86 and 80,493.66

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Solution

The fourth proportional to 144,140.76, 198,913.86 and 80,493.66 is: 111,081.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,140.76 : 198,913.86 = 80,493.66 : x
  2. Step 2: Convert to fraction form
    144,140.76/198,913.86 = 80,493.66/x
  3. Step 3: Cross multiply
    144,140.76x = 198,913.86 × 80,493.66
  4. Step 4: Simplify right side
    144,140.76x = 16,011,304,616.13
  5. Step 5: Solve for x
    x = 16,011,304,616.13/144,140.76
  6. Step 6: Final answer
    x = 111,081.03

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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.