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Finding the Fourth Proportional to 110,102.40, 165,142.40 and 30,147.48

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Solution

The fourth proportional to 110,102.40, 165,142.40 and 30,147.48 is: 45,218.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,102.40 : 165,142.40 = 30,147.48 : x
  2. Step 2: Convert to fraction form
    110,102.40/165,142.40 = 30,147.48/x
  3. Step 3: Cross multiply
    110,102.40x = 165,142.40 × 30,147.48
  4. Step 4: Simplify right side
    110,102.40x = 4,978,627,201.15
  5. Step 5: Solve for x
    x = 4,978,627,201.15/110,102.40
  6. Step 6: Final answer
    x = 45,218.15

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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.