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Finding the Fourth Proportional to 110,308.92, 165,489.30 and 31,424.28

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Solution

The fourth proportional to 110,308.92, 165,489.30 and 31,424.28 is: 47,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,308.92 : 165,489.30 = 31,424.28 : x
  2. Step 2: Convert to fraction form
    110,308.92/165,489.30 = 31,424.28/x
  3. Step 3: Cross multiply
    110,308.92x = 165,489.30 × 31,424.28
  4. Step 4: Simplify right side
    110,308.92x = 5,200,382,100.20
  5. Step 5: Solve for x
    x = 5,200,382,100.20/110,308.92
  6. Step 6: Final answer
    x = 47,143.80

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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.