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Finding the Fourth Proportional to 144,178.54, 198,964.29 and 80,517.22

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Solution

The fourth proportional to 144,178.54, 198,964.29 and 80,517.22 is: 111,112.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,178.54 : 198,964.29 = 80,517.22 : x
  2. Step 2: Convert to fraction form
    144,178.54/198,964.29 = 80,517.22/x
  3. Step 3: Cross multiply
    144,178.54x = 198,964.29 × 80,517.22
  4. Step 4: Simplify right side
    144,178.54x = 16,020,051,510.07
  5. Step 5: Solve for x
    x = 16,020,051,510.07/144,178.54
  6. Step 6: Final answer
    x = 111,112.59

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1.5x scale

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.