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Finding the Fourth Proportional to 136,747, 188,717.34 and 77,131

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Solution

The fourth proportional to 136,747, 188,717.34 and 77,131 is: 106,444.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,747 : 188,717.34 = 77,131 : x
  2. Step 2: Convert to fraction form
    136,747/188,717.34 = 77,131/x
  3. Step 3: Cross multiply
    136,747x = 188,717.34 × 77,131
  4. Step 4: Simplify right side
    136,747x = 14,555,957,151.54
  5. Step 5: Solve for x
    x = 14,555,957,151.54/136,747
  6. Step 6: Final answer
    x = 106,444.43

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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.