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Finding the Fourth Proportional to 71,110.91, 106,672.48 and 18,520.31

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Solution

The fourth proportional to 71,110.91, 106,672.48 and 18,520.31 is: 27,782.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,110.91 : 106,672.48 = 18,520.31 : x
  2. Step 2: Convert to fraction form
    71,110.91/106,672.48 = 18,520.31/x
  3. Step 3: Cross multiply
    71,110.91x = 106,672.48 × 18,520.31
  4. Step 4: Simplify right side
    71,110.91x = 1,975,607,618.45
  5. Step 5: Solve for x
    x = 1,975,607,618.45/71,110.91
  6. Step 6: Final answer
    x = 27,782.06

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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.