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Finding the Fourth Proportional to 100,163.88, 138,319.80 and 64,415.96

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Solution

The fourth proportional to 100,163.88, 138,319.80 and 64,415.96 is: 88,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,163.88 : 138,319.80 = 64,415.96 : x
  2. Step 2: Convert to fraction form
    100,163.88/138,319.80 = 64,415.96/x
  3. Step 3: Cross multiply
    100,163.88x = 138,319.80 × 64,415.96
  4. Step 4: Simplify right side
    100,163.88x = 8,910,002,704.01
  5. Step 5: Solve for x
    x = 8,910,002,704.01/100,163.88
  6. Step 6: Final answer
    x = 88,954.25

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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.