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Finding the Fourth Proportional to 110,391.80, 165,537.88 and 31,487.28

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Solution

The fourth proportional to 110,391.80, 165,537.88 and 31,487.28 is: 47,216.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,391.80 : 165,537.88 = 31,487.28 : x
  2. Step 2: Convert to fraction form
    110,391.80/165,537.88 = 31,487.28/x
  3. Step 3: Cross multiply
    110,391.80x = 165,537.88 × 31,487.28
  4. Step 4: Simplify right side
    110,391.80x = 5,212,337,578.17
  5. Step 5: Solve for x
    x = 5,212,337,578.17/110,391.80
  6. Step 6: Final answer
    x = 47,216.71

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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.