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Finding the Fourth Proportional to 225,785.68, 338,834.04 and 78,041.68

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Solution

The fourth proportional to 225,785.68, 338,834.04 and 78,041.68 is: 117,116.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,785.68 : 338,834.04 = 78,041.68 : x
  2. Step 2: Convert to fraction form
    225,785.68/338,834.04 = 78,041.68/x
  3. Step 3: Cross multiply
    225,785.68x = 338,834.04 × 78,041.68
  4. Step 4: Simplify right side
    225,785.68x = 26,443,177,722.79
  5. Step 5: Solve for x
    x = 26,443,177,722.79/225,785.68
  6. Step 6: Final answer
    x = 117,116.27

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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.