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Finding the Fourth Proportional to 136,422.92, 188,292.67 and 91,685

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Solution

The fourth proportional to 136,422.92, 188,292.67 and 91,685 is: 126,544.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,422.92 : 188,292.67 = 91,685 : x
  2. Step 2: Convert to fraction form
    136,422.92/188,292.67 = 91,685/x
  3. Step 3: Cross multiply
    136,422.92x = 188,292.67 × 91,685
  4. Step 4: Simplify right side
    136,422.92x = 17,263,613,448.95
  5. Step 5: Solve for x
    x = 17,263,613,448.95/136,422.92
  6. Step 6: Final answer
    x = 126,544.82

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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.