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Finding the Fourth Proportional to 189,170.66, 283,761.94 and 70,819.40

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Solution

The fourth proportional to 189,170.66, 283,761.94 and 70,819.40 is: 106,231.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,170.66 : 283,761.94 = 70,819.40 : x
  2. Step 2: Convert to fraction form
    189,170.66/283,761.94 = 70,819.40/x
  3. Step 3: Cross multiply
    189,170.66x = 283,761.94 × 70,819.40
  4. Step 4: Simplify right side
    189,170.66x = 20,095,850,333.64
  5. Step 5: Solve for x
    x = 20,095,850,333.64/189,170.66
  6. Step 6: Final answer
    x = 106,231.33

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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.