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Finding the Fourth Proportional to 203,910, 305,890.92 and 56,166

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Solution

The fourth proportional to 203,910, 305,890.92 and 56,166 is: 84,256.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,910 : 305,890.92 = 56,166 : x
  2. Step 2: Convert to fraction form
    203,910/305,890.92 = 56,166/x
  3. Step 3: Cross multiply
    203,910x = 305,890.92 × 56,166
  4. Step 4: Simplify right side
    203,910x = 17,180,669,412.72
  5. Step 5: Solve for x
    x = 17,180,669,412.72/203,910
  6. Step 6: Final answer
    x = 84,256.14

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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.