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Finding the Fourth Proportional to 120,057.64, 165,689.52 and 66,353.14

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Solution

The fourth proportional to 120,057.64, 165,689.52 and 66,353.14 is: 91,572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,057.64 : 165,689.52 = 66,353.14 : x
  2. Step 2: Convert to fraction form
    120,057.64/165,689.52 = 66,353.14/x
  3. Step 3: Cross multiply
    120,057.64x = 165,689.52 × 66,353.14
  4. Step 4: Simplify right side
    120,057.64x = 10,994,019,917.09
  5. Step 5: Solve for x
    x = 10,994,019,917.09/120,057.64
  6. Step 6: Final answer
    x = 91,572.85

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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.