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Finding the Fourth Proportional to 217,319.76, 325,811.94 and 82,381.84

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Solution

The fourth proportional to 217,319.76, 325,811.94 and 82,381.84 is: 123,509.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,319.76 : 325,811.94 = 82,381.84 : x
  2. Step 2: Convert to fraction form
    217,319.76/325,811.94 = 82,381.84/x
  3. Step 3: Cross multiply
    217,319.76x = 325,811.94 × 82,381.84
  4. Step 4: Simplify right side
    217,319.76x = 26,840,987,111.17
  5. Step 5: Solve for x
    x = 26,840,987,111.17/217,319.76
  6. Step 6: Final answer
    x = 123,509.19

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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.