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Finding the Fourth Proportional to 120,066.57, 165,695.19 and 66,354.96

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Solution

The fourth proportional to 120,066.57, 165,695.19 and 66,354.96 is: 91,571.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,066.57 : 165,695.19 = 66,354.96 : x
  2. Step 2: Convert to fraction form
    120,066.57/165,695.19 = 66,354.96/x
  3. Step 3: Cross multiply
    120,066.57x = 165,695.19 × 66,354.96
  4. Step 4: Simplify right side
    120,066.57x = 10,994,697,704.64
  5. Step 5: Solve for x
    x = 10,994,697,704.64/120,066.57
  6. Step 6: Final answer
    x = 91,571.68

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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.