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Finding the Fourth Proportional to 217,178.81, 325,809.17 and 82,283.33

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Solution

The fourth proportional to 217,178.81, 325,809.17 and 82,283.33 is: 123,440.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,178.81 : 325,809.17 = 82,283.33 : x
  2. Step 2: Convert to fraction form
    217,178.81/325,809.17 = 82,283.33/x
  3. Step 3: Cross multiply
    217,178.81x = 325,809.17 × 82,283.33
  4. Step 4: Simplify right side
    217,178.81x = 26,808,661,411.67
  5. Step 5: Solve for x
    x = 26,808,661,411.67/217,178.81
  6. Step 6: Final answer
    x = 123,440.51

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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.