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Finding the Fourth Proportional to 120,757.64, 180,881.10 and 76,361.48

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Solution

The fourth proportional to 120,757.64, 180,881.10 and 76,361.48 is: 114,380.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,757.64 : 180,881.10 = 76,361.48 : x
  2. Step 2: Convert to fraction form
    120,757.64/180,881.10 = 76,361.48/x
  3. Step 3: Cross multiply
    120,757.64x = 180,881.10 × 76,361.48
  4. Step 4: Simplify right side
    120,757.64x = 13,812,348,500.03
  5. Step 5: Solve for x
    x = 13,812,348,500.03/120,757.64
  6. Step 6: Final answer
    x = 114,380.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.