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Finding the Fourth Proportional to 137,924.42, 206,739.61 and 78,632.42

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Solution

The fourth proportional to 137,924.42, 206,739.61 and 78,632.42 is: 117,864.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,924.42 : 206,739.61 = 78,632.42 : x
  2. Step 2: Convert to fraction form
    137,924.42/206,739.61 = 78,632.42/x
  3. Step 3: Cross multiply
    137,924.42x = 206,739.61 × 78,632.42
  4. Step 4: Simplify right side
    137,924.42x = 16,256,434,613.88
  5. Step 5: Solve for x
    x = 16,256,434,613.88/137,924.42
  6. Step 6: Final answer
    x = 117,864.81

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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.