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Finding the Fourth Proportional to 225,865.94, 338,863.70 and 85,638.74

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Solution

The fourth proportional to 225,865.94, 338,863.70 and 85,638.74 is: 128,482.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,865.94 : 338,863.70 = 85,638.74 : x
  2. Step 2: Convert to fraction form
    225,865.94/338,863.70 = 85,638.74/x
  3. Step 3: Cross multiply
    225,865.94x = 338,863.70 × 85,638.74
  4. Step 4: Simplify right side
    225,865.94x = 29,019,858,819.52
  5. Step 5: Solve for x
    x = 29,019,858,819.52/225,865.94
  6. Step 6: Final answer
    x = 128,482.67

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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.