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Finding the Fourth Proportional to 100,192.03, 138,275.82 and 63,894.66

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Solution

The fourth proportional to 100,192.03, 138,275.82 and 63,894.66 is: 88,181.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,192.03 : 138,275.82 = 63,894.66 : x
  2. Step 2: Convert to fraction form
    100,192.03/138,275.82 = 63,894.66/x
  3. Step 3: Cross multiply
    100,192.03x = 138,275.82 × 63,894.66
  4. Step 4: Simplify right side
    100,192.03x = 8,835,086,505.12
  5. Step 5: Solve for x
    x = 8,835,086,505.12/100,192.03
  6. Step 6: Final answer
    x = 88,181.53

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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.