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Finding the Fourth Proportional to 100,418.78, 138,578.10 and 55,100.64

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Solution

The fourth proportional to 100,418.78, 138,578.10 and 55,100.64 is: 76,038.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,418.78 : 138,578.10 = 55,100.64 : x
  2. Step 2: Convert to fraction form
    100,418.78/138,578.10 = 55,100.64/x
  3. Step 3: Cross multiply
    100,418.78x = 138,578.10 × 55,100.64
  4. Step 4: Simplify right side
    100,418.78x = 7,635,741,999.98
  5. Step 5: Solve for x
    x = 7,635,741,999.98/100,418.78
  6. Step 6: Final answer
    x = 76,038.98

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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.