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Finding the Fourth Proportional to 110,235, 165,352.50 and 27,129

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Solution

The fourth proportional to 110,235, 165,352.50 and 27,129 is: 40,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,235 : 165,352.50 = 27,129 : x
  2. Step 2: Convert to fraction form
    110,235/165,352.50 = 27,129/x
  3. Step 3: Cross multiply
    110,235x = 165,352.50 × 27,129
  4. Step 4: Simplify right side
    110,235x = 4,485,847,972.50
  5. Step 5: Solve for x
    x = 4,485,847,972.50/110,235
  6. Step 6: Final answer
    x = 40,693.50

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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.