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Finding the Fourth Proportional to 189,630.39, 261,697.90 and 109,057.98

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Solution

The fourth proportional to 189,630.39, 261,697.90 and 109,057.98 is: 150,504.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,630.39 : 261,697.90 = 109,057.98 : x
  2. Step 2: Convert to fraction form
    189,630.39/261,697.90 = 109,057.98/x
  3. Step 3: Cross multiply
    189,630.39x = 261,697.90 × 109,057.98
  4. Step 4: Simplify right side
    189,630.39x = 28,540,243,478.67
  5. Step 5: Solve for x
    x = 28,540,243,478.67/189,630.39
  6. Step 6: Final answer
    x = 150,504.59

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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.