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Finding the Fourth Proportional to 197,439, 272,465.82 and 106,794.96

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Solution

The fourth proportional to 197,439, 272,465.82 and 106,794.96 is: 147,377.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,439 : 272,465.82 = 106,794.96 : x
  2. Step 2: Convert to fraction form
    197,439/272,465.82 = 106,794.96/x
  3. Step 3: Cross multiply
    197,439x = 272,465.82 × 106,794.96
  4. Step 4: Simplify right side
    197,439x = 29,097,976,348.27
  5. Step 5: Solve for x
    x = 29,097,976,348.27/197,439
  6. Step 6: Final answer
    x = 147,377.04

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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.