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Finding the Fourth Proportional to 90,858.84, 136,310.94 and 31,695

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Solution

The fourth proportional to 90,858.84, 136,310.94 and 31,695 is: 47,550.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,858.84 : 136,310.94 = 31,695 : x
  2. Step 2: Convert to fraction form
    90,858.84/136,310.94 = 31,695/x
  3. Step 3: Cross multiply
    90,858.84x = 136,310.94 × 31,695
  4. Step 4: Simplify right side
    90,858.84x = 4,320,375,243.30
  5. Step 5: Solve for x
    x = 4,320,375,243.30/90,858.84
  6. Step 6: Final answer
    x = 47,550.41

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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.