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Finding the Fourth Proportional to 136,956.74, 205,152.14 and 80,623.26

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Solution

The fourth proportional to 136,956.74, 205,152.14 and 80,623.26 is: 120,768.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,956.74 : 205,152.14 = 80,623.26 : x
  2. Step 2: Convert to fraction form
    136,956.74/205,152.14 = 80,623.26/x
  3. Step 3: Cross multiply
    136,956.74x = 205,152.14 × 80,623.26
  4. Step 4: Simplify right side
    136,956.74x = 16,540,034,524.33
  5. Step 5: Solve for x
    x = 16,540,034,524.33/136,956.74
  6. Step 6: Final answer
    x = 120,768.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.