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Finding the Fourth Proportional to 192,177.38, 265,206.75 and 106,138.50

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Solution

The fourth proportional to 192,177.38, 265,206.75 and 106,138.50 is: 146,472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,177.38 : 265,206.75 = 106,138.50 : x
  2. Step 2: Convert to fraction form
    192,177.38/265,206.75 = 106,138.50/x
  3. Step 3: Cross multiply
    192,177.38x = 265,206.75 × 106,138.50
  4. Step 4: Simplify right side
    192,177.38x = 28,148,646,634.88
  5. Step 5: Solve for x
    x = 28,148,646,634.88/192,177.38
  6. Step 6: Final answer
    x = 146,472.22

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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.