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Finding the Fourth Proportional to 231,756.62, 347,764.10 and 125,138.32

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Solution

The fourth proportional to 231,756.62, 347,764.10 and 125,138.32 is: 187,777.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,756.62 : 347,764.10 = 125,138.32 : x
  2. Step 2: Convert to fraction form
    231,756.62/347,764.10 = 125,138.32/x
  3. Step 3: Cross multiply
    231,756.62x = 347,764.10 × 125,138.32
  4. Step 4: Simplify right side
    231,756.62x = 43,518,613,735.21
  5. Step 5: Solve for x
    x = 43,518,613,735.21/231,756.62
  6. Step 6: Final answer
    x = 187,777.22

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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.