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Finding the Fourth Proportional to 110,166, 165,989.64 and 99,647.88

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Solution

The fourth proportional to 110,166, 165,989.64 and 99,647.88 is: 150,141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,166 : 165,989.64 = 99,647.88 : x
  2. Step 2: Convert to fraction form
    110,166/165,989.64 = 99,647.88/x
  3. Step 3: Cross multiply
    110,166x = 165,989.64 × 99,647.88
  4. Step 4: Simplify right side
    110,166x = 16,540,515,727.96
  5. Step 5: Solve for x
    x = 16,540,515,727.96/110,166
  6. Step 6: Final answer
    x = 150,141.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.