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Finding the Fourth Proportional to 213,892.70, 320,949.81 and 108,711.77

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Solution

The fourth proportional to 213,892.70, 320,949.81 and 108,711.77 is: 163,123.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,892.70 : 320,949.81 = 108,711.77 : x
  2. Step 2: Convert to fraction form
    213,892.70/320,949.81 = 108,711.77/x
  3. Step 3: Cross multiply
    213,892.70x = 320,949.81 × 108,711.77
  4. Step 4: Simplify right side
    213,892.70x = 34,891,020,321.51
  5. Step 5: Solve for x
    x = 34,891,020,321.51/213,892.70
  6. Step 6: Final answer
    x = 163,123.95

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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.