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Finding the Fourth Proportional to 110,100.78, 165,151.17 and 31,215.69

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Solution

The fourth proportional to 110,100.78, 165,151.17 and 31,215.69 is: 46,823.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,100.78 : 165,151.17 = 31,215.69 : x
  2. Step 2: Convert to fraction form
    110,100.78/165,151.17 = 31,215.69/x
  3. Step 3: Cross multiply
    110,100.78x = 165,151.17 × 31,215.69
  4. Step 4: Simplify right side
    110,100.78x = 5,155,307,725.86
  5. Step 5: Solve for x
    x = 5,155,307,725.86/110,100.78
  6. Step 6: Final answer
    x = 46,823.54

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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.