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Finding the Fourth Proportional to 136,906.94, 188,852.72 and 82,421.22

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Solution

The fourth proportional to 136,906.94, 188,852.72 and 82,421.22 is: 113,693.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,906.94 : 188,852.72 = 82,421.22 : x
  2. Step 2: Convert to fraction form
    136,906.94/188,852.72 = 82,421.22/x
  3. Step 3: Cross multiply
    136,906.94x = 188,852.72 × 82,421.22
  4. Step 4: Simplify right side
    136,906.94x = 15,565,471,582.72
  5. Step 5: Solve for x
    x = 15,565,471,582.72/136,906.94
  6. Step 6: Final answer
    x = 113,693.81

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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.