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Finding the Fourth Proportional to 210,581.44, 315,854.40 and 90,633.54

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Solution

The fourth proportional to 210,581.44, 315,854.40 and 90,633.54 is: 135,942.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,581.44 : 315,854.40 = 90,633.54 : x
  2. Step 2: Convert to fraction form
    210,581.44/315,854.40 = 90,633.54/x
  3. Step 3: Cross multiply
    210,581.44x = 315,854.40 × 90,633.54
  4. Step 4: Simplify right side
    210,581.44x = 28,627,002,396.58
  5. Step 5: Solve for x
    x = 28,627,002,396.58/210,581.44
  6. Step 6: Final answer
    x = 135,942.67

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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.