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Finding the Fourth Proportional to 142,996.79, 197,338.11 and 78,469.21

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Solution

The fourth proportional to 142,996.79, 197,338.11 and 78,469.21 is: 108,288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,996.79 : 197,338.11 = 78,469.21 : x
  2. Step 2: Convert to fraction form
    142,996.79/197,338.11 = 78,469.21/x
  3. Step 3: Cross multiply
    142,996.79x = 197,338.11 × 78,469.21
  4. Step 4: Simplify right side
    142,996.79x = 15,484,964,436.98
  5. Step 5: Solve for x
    x = 15,484,964,436.98/142,996.79
  6. Step 6: Final answer
    x = 108,288.89

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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.