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Finding the Fourth Proportional to 120,175.82, 165,837.61 and 65,727.11

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Solution

The fourth proportional to 120,175.82, 165,837.61 and 65,727.11 is: 90,700.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,175.82 : 165,837.61 = 65,727.11 : x
  2. Step 2: Convert to fraction form
    120,175.82/165,837.61 = 65,727.11/x
  3. Step 3: Cross multiply
    120,175.82x = 165,837.61 × 65,727.11
  4. Step 4: Simplify right side
    120,175.82x = 10,900,027,331.36
  5. Step 5: Solve for x
    x = 10,900,027,331.36/120,175.82
  6. Step 6: Final answer
    x = 90,700.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.