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Finding the Fourth Proportional to 100,270.95, 138,322.11 and 67,994.64

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Solution

The fourth proportional to 100,270.95, 138,322.11 and 67,994.64 is: 93,797.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,270.95 : 138,322.11 = 67,994.64 : x
  2. Step 2: Convert to fraction form
    100,270.95/138,322.11 = 67,994.64/x
  3. Step 3: Cross multiply
    100,270.95x = 138,322.11 × 67,994.64
  4. Step 4: Simplify right side
    100,270.95x = 9,405,162,073.49
  5. Step 5: Solve for x
    x = 9,405,162,073.49/100,270.95
  6. Step 6: Final answer
    x = 93,797.48

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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.