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Finding the Fourth Proportional to 90,649.76, 135,954.12 and 34,469.83

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Solution

The fourth proportional to 90,649.76, 135,954.12 and 34,469.83 is: 51,696.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,649.76 : 135,954.12 = 34,469.83 : x
  2. Step 2: Convert to fraction form
    90,649.76/135,954.12 = 34,469.83/x
  3. Step 3: Cross multiply
    90,649.76x = 135,954.12 × 34,469.83
  4. Step 4: Simplify right side
    90,649.76x = 4,686,315,404.20
  5. Step 5: Solve for x
    x = 4,686,315,404.20/90,649.76
  6. Step 6: Final answer
    x = 51,696.94

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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.