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Finding the Fourth Proportional to 70,833.21, 106,261.35 and 20,918.36

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Solution

The fourth proportional to 70,833.21, 106,261.35 and 20,918.36 is: 31,380.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,833.21 : 106,261.35 = 20,918.36 : x
  2. Step 2: Convert to fraction form
    70,833.21/106,261.35 = 20,918.36/x
  3. Step 3: Cross multiply
    70,833.21x = 106,261.35 × 20,918.36
  4. Step 4: Simplify right side
    70,833.21x = 2,222,813,173.39
  5. Step 5: Solve for x
    x = 2,222,813,173.39/70,833.21
  6. Step 6: Final answer
    x = 31,380.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.