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Finding the Fourth Proportional to 149,191.70, 205,902.10 and 83,791.28

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Solution

The fourth proportional to 149,191.70, 205,902.10 and 83,791.28 is: 115,641.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,191.70 : 205,902.10 = 83,791.28 : x
  2. Step 2: Convert to fraction form
    149,191.70/205,902.10 = 83,791.28/x
  3. Step 3: Cross multiply
    149,191.70x = 205,902.10 × 83,791.28
  4. Step 4: Simplify right side
    149,191.70x = 17,252,800,513.69
  5. Step 5: Solve for x
    x = 17,252,800,513.69/149,191.70
  6. Step 6: Final answer
    x = 115,641.83

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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.