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Finding the Fourth Proportional to 201,910.45, 278,638.29 and 111,269.67

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Solution

The fourth proportional to 201,910.45, 278,638.29 and 111,269.67 is: 153,553.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,910.45 : 278,638.29 = 111,269.67 : x
  2. Step 2: Convert to fraction form
    201,910.45/278,638.29 = 111,269.67/x
  3. Step 3: Cross multiply
    201,910.45x = 278,638.29 × 111,269.67
  4. Step 4: Simplify right side
    201,910.45x = 31,003,990,577.66
  5. Step 5: Solve for x
    x = 31,003,990,577.66/201,910.45
  6. Step 6: Final answer
    x = 153,553.17

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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.