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Finding the Fourth Proportional to 100,467, 138,645 and 62,763.12

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Solution

The fourth proportional to 100,467, 138,645 and 62,763.12 is: 86,613.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,467 : 138,645 = 62,763.12 : x
  2. Step 2: Convert to fraction form
    100,467/138,645 = 62,763.12/x
  3. Step 3: Cross multiply
    100,467x = 138,645 × 62,763.12
  4. Step 4: Simplify right side
    100,467x = 8,701,792,772.40
  5. Step 5: Solve for x
    x = 8,701,792,772.40/100,467
  6. Step 6: Final answer
    x = 86,613.44

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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.