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Finding the Fourth Proportional to 90,197.70, 135,274.66 and 37,578.48

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Solution

The fourth proportional to 90,197.70, 135,274.66 and 37,578.48 is: 56,358.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,197.70 : 135,274.66 = 37,578.48 : x
  2. Step 2: Convert to fraction form
    90,197.70/135,274.66 = 37,578.48/x
  3. Step 3: Cross multiply
    90,197.70x = 135,274.66 × 37,578.48
  4. Step 4: Simplify right side
    90,197.70x = 5,083,416,105.32
  5. Step 5: Solve for x
    x = 5,083,416,105.32/90,197.70
  6. Step 6: Final answer
    x = 56,358.60

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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.