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Finding the Fourth Proportional to 100,234.55, 138,212.86 and 63,878.44

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Solution

The fourth proportional to 100,234.55, 138,212.86 and 63,878.44 is: 88,081.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,234.55 : 138,212.86 = 63,878.44 : x
  2. Step 2: Convert to fraction form
    100,234.55/138,212.86 = 63,878.44/x
  3. Step 3: Cross multiply
    100,234.55x = 138,212.86 × 63,878.44
  4. Step 4: Simplify right side
    100,234.55x = 8,828,821,197.80
  5. Step 5: Solve for x
    x = 8,828,821,197.80/100,234.55
  6. Step 6: Final answer
    x = 88,081.62

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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.