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Finding the Fourth Proportional to 81,393.66, 122,109.12 and 31,474.17

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Solution

The fourth proportional to 81,393.66, 122,109.12 and 31,474.17 is: 47,218.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,393.66 : 122,109.12 = 31,474.17 : x
  2. Step 2: Convert to fraction form
    81,393.66/122,109.12 = 31,474.17/x
  3. Step 3: Cross multiply
    81,393.66x = 122,109.12 × 31,474.17
  4. Step 4: Simplify right side
    81,393.66x = 3,843,283,201.43
  5. Step 5: Solve for x
    x = 3,843,283,201.43/81,393.66
  6. Step 6: Final answer
    x = 47,218.46

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1.5x scale

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.