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Finding the Fourth Proportional to 146,638, 202,358.28 and 86,215.44

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Solution

The fourth proportional to 146,638, 202,358.28 and 86,215.44 is: 118,976.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,638 : 202,358.28 = 86,215.44 : x
  2. Step 2: Convert to fraction form
    146,638/202,358.28 = 86,215.44/x
  3. Step 3: Cross multiply
    146,638x = 202,358.28 × 86,215.44
  4. Step 4: Simplify right side
    146,638x = 17,446,408,147.84
  5. Step 5: Solve for x
    x = 17,446,408,147.84/146,638
  6. Step 6: Final answer
    x = 118,976.04

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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.