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Finding the Fourth Proportional to 108,531.70, 149,782.97 and 63,213.82

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Solution

The fourth proportional to 108,531.70, 149,782.97 and 63,213.82 is: 87,240.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,531.70 : 149,782.97 = 63,213.82 : x
  2. Step 2: Convert to fraction form
    108,531.70/149,782.97 = 63,213.82/x
  3. Step 3: Cross multiply
    108,531.70x = 149,782.97 × 63,213.82
  4. Step 4: Simplify right side
    108,531.70x = 9,468,353,488.22
  5. Step 5: Solve for x
    x = 9,468,353,488.22/108,531.70
  6. Step 6: Final answer
    x = 87,240.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.