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Finding the Fourth Proportional to 79,145.94, 118,717.92 and 31,782

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Solution

The fourth proportional to 79,145.94, 118,717.92 and 31,782 is: 47,672.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,145.94 : 118,717.92 = 31,782 : x
  2. Step 2: Convert to fraction form
    79,145.94/118,717.92 = 31,782/x
  3. Step 3: Cross multiply
    79,145.94x = 118,717.92 × 31,782
  4. Step 4: Simplify right side
    79,145.94x = 3,773,092,933.44
  5. Step 5: Solve for x
    x = 3,773,092,933.44/79,145.94
  6. Step 6: Final answer
    x = 47,672.60

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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.