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Finding the Fourth Proportional to 189,057.66, 283,704.72 and 76,737.84

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Solution

The fourth proportional to 189,057.66, 283,704.72 and 76,737.84 is: 115,154.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,057.66 : 283,704.72 = 76,737.84 : x
  2. Step 2: Convert to fraction form
    189,057.66/283,704.72 = 76,737.84/x
  3. Step 3: Cross multiply
    189,057.66x = 283,704.72 × 76,737.84
  4. Step 4: Simplify right side
    189,057.66x = 21,770,887,410.60
  5. Step 5: Solve for x
    x = 21,770,887,410.60/189,057.66
  6. Step 6: Final answer
    x = 115,154.75

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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.