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Finding the Fourth Proportional to 136,612, 188,527.44 and 76,996

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Solution

The fourth proportional to 136,612, 188,527.44 and 76,996 is: 106,256.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,612 : 188,527.44 = 76,996 : x
  2. Step 2: Convert to fraction form
    136,612/188,527.44 = 76,996/x
  3. Step 3: Cross multiply
    136,612x = 188,527.44 × 76,996
  4. Step 4: Simplify right side
    136,612x = 14,515,858,770.24
  5. Step 5: Solve for x
    x = 14,515,858,770.24/136,612
  6. Step 6: Final answer
    x = 106,256.10

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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.