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Finding the Fourth Proportional to 213,894.39, 321,156.99 and 119,309.38

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Solution

The fourth proportional to 213,894.39, 321,156.99 and 119,309.38 is: 179,140.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,894.39 : 321,156.99 = 119,309.38 : x
  2. Step 2: Convert to fraction form
    213,894.39/321,156.99 = 119,309.38/x
  3. Step 3: Cross multiply
    213,894.39x = 321,156.99 × 119,309.38
  4. Step 4: Simplify right side
    213,894.39x = 38,317,041,359.57
  5. Step 5: Solve for x
    x = 38,317,041,359.57/213,894.39
  6. Step 6: Final answer
    x = 179,140.00

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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.