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Finding the Fourth Proportional to 143,170.82, 197,578.12 and 78,646.04

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Solution

The fourth proportional to 143,170.82, 197,578.12 and 78,646.04 is: 108,532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,170.82 : 197,578.12 = 78,646.04 : x
  2. Step 2: Convert to fraction form
    143,170.82/197,578.12 = 78,646.04/x
  3. Step 3: Cross multiply
    143,170.82x = 197,578.12 × 78,646.04
  4. Step 4: Simplify right side
    143,170.82x = 15,538,736,728.64
  5. Step 5: Solve for x
    x = 15,538,736,728.64/143,170.82
  6. Step 6: Final answer
    x = 108,532.85

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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.