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Finding the Fourth Proportional to 136,392.54, 188,221.50 and 75,968.43

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Solution

The fourth proportional to 136,392.54, 188,221.50 and 75,968.43 is: 104,836.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,392.54 : 188,221.50 = 75,968.43 : x
  2. Step 2: Convert to fraction form
    136,392.54/188,221.50 = 75,968.43/x
  3. Step 3: Cross multiply
    136,392.54x = 188,221.50 × 75,968.43
  4. Step 4: Simplify right side
    136,392.54x = 14,298,891,847.25
  5. Step 5: Solve for x
    x = 14,298,891,847.25/136,392.54
  6. Step 6: Final answer
    x = 104,836.32

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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.