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Finding the Fourth Proportional to 120,221.91, 165,892.68 and 66,499.47

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Solution

The fourth proportional to 120,221.91, 165,892.68 and 66,499.47 is: 91,761.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,221.91 : 165,892.68 = 66,499.47 : x
  2. Step 2: Convert to fraction form
    120,221.91/165,892.68 = 66,499.47/x
  3. Step 3: Cross multiply
    120,221.91x = 165,892.68 × 66,499.47
  4. Step 4: Simplify right side
    120,221.91x = 11,031,775,296.88
  5. Step 5: Solve for x
    x = 11,031,775,296.88/120,221.91
  6. Step 6: Final answer
    x = 91,761.77

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1.5x scale

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.