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Finding the Fourth Proportional to 231,381.86, 346,676.70 and 126,274.64

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Solution

The fourth proportional to 231,381.86, 346,676.70 and 126,274.64 is: 189,195.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,381.86 : 346,676.70 = 126,274.64 : x
  2. Step 2: Convert to fraction form
    231,381.86/346,676.70 = 126,274.64/x
  3. Step 3: Cross multiply
    231,381.86x = 346,676.70 × 126,274.64
  4. Step 4: Simplify right side
    231,381.86x = 43,776,475,488.89
  5. Step 5: Solve for x
    x = 43,776,475,488.89/231,381.86
  6. Step 6: Final answer
    x = 189,195.80

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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.