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Finding the Fourth Proportional to 225,682.81, 338,416.61 and 83,521.69

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Solution

The fourth proportional to 225,682.81, 338,416.61 and 83,521.69 is: 125,242.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,682.81 : 338,416.61 = 83,521.69 : x
  2. Step 2: Convert to fraction form
    225,682.81/338,416.61 = 83,521.69/x
  3. Step 3: Cross multiply
    225,682.81x = 338,416.61 × 83,521.69
  4. Step 4: Simplify right side
    225,682.81x = 28,265,125,499.19
  5. Step 5: Solve for x
    x = 28,265,125,499.19/225,682.81
  6. Step 6: Final answer
    x = 125,242.71

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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.