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Finding the Fourth Proportional to 205,139.97, 307,114.07 and 119,489.67

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Solution

The fourth proportional to 205,139.97, 307,114.07 and 119,489.67 is: 178,887.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,139.97 : 307,114.07 = 119,489.67 : x
  2. Step 2: Convert to fraction form
    205,139.97/307,114.07 = 119,489.67/x
  3. Step 3: Cross multiply
    205,139.97x = 307,114.07 × 119,489.67
  4. Step 4: Simplify right side
    205,139.97x = 36,696,958,279.21
  5. Step 5: Solve for x
    x = 36,696,958,279.21/205,139.97
  6. Step 6: Final answer
    x = 178,887.41

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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.