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Finding the Fourth Proportional to 120,199.38, 165,863.98 and 66,483.24

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Solution

The fourth proportional to 120,199.38, 165,863.98 and 66,483.24 is: 91,740.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,199.38 : 165,863.98 = 66,483.24 : x
  2. Step 2: Convert to fraction form
    120,199.38/165,863.98 = 66,483.24/x
  3. Step 3: Cross multiply
    120,199.38x = 165,863.98 × 66,483.24
  4. Step 4: Simplify right side
    120,199.38x = 11,027,174,789.70
  5. Step 5: Solve for x
    x = 11,027,174,789.70/120,199.38
  6. Step 6: Final answer
    x = 91,740.70

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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.