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Finding the Fourth Proportional to 144,172.86, 198,964.18 and 79,645.43

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Solution

The fourth proportional to 144,172.86, 198,964.18 and 79,645.43 is: 109,913.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,172.86 : 198,964.18 = 79,645.43 : x
  2. Step 2: Convert to fraction form
    144,172.86/198,964.18 = 79,645.43/x
  3. Step 3: Cross multiply
    144,172.86x = 198,964.18 × 79,645.43
  4. Step 4: Simplify right side
    144,172.86x = 15,846,586,476.76
  5. Step 5: Solve for x
    x = 15,846,586,476.76/144,172.86
  6. Step 6: Final answer
    x = 109,913.80

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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.