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Finding the Fourth Proportional to 143,382, 197,849.34 and 79,711.68

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Solution

The fourth proportional to 143,382, 197,849.34 and 79,711.68 is: 109,992.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,382 : 197,849.34 = 79,711.68 : x
  2. Step 2: Convert to fraction form
    143,382/197,849.34 = 79,711.68/x
  3. Step 3: Cross multiply
    143,382x = 197,849.34 × 79,711.68
  4. Step 4: Simplify right side
    143,382x = 15,770,903,278.29
  5. Step 5: Solve for x
    x = 15,770,903,278.29/143,382
  6. Step 6: Final answer
    x = 109,992.21

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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.