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Finding the Fourth Proportional to 217,322.79, 325,904.32 and 75,131.61

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Solution

The fourth proportional to 217,322.79, 325,904.32 and 75,131.61 is: 112,669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,322.79 : 325,904.32 = 75,131.61 : x
  2. Step 2: Convert to fraction form
    217,322.79/325,904.32 = 75,131.61/x
  3. Step 3: Cross multiply
    217,322.79x = 325,904.32 × 75,131.61
  4. Step 4: Simplify right side
    217,322.79x = 24,485,716,267.56
  5. Step 5: Solve for x
    x = 24,485,716,267.56/217,322.79
  6. Step 6: Final answer
    x = 112,669.80

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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.