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Finding the Fourth Proportional to 81,229.71, 121,832.01 and 31,333.17

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Solution

The fourth proportional to 81,229.71, 121,832.01 and 31,333.17 is: 46,994.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,229.71 : 121,832.01 = 31,333.17 : x
  2. Step 2: Convert to fraction form
    81,229.71/121,832.01 = 31,333.17/x
  3. Step 3: Cross multiply
    81,229.71x = 121,832.01 × 31,333.17
  4. Step 4: Simplify right side
    81,229.71x = 3,817,383,080.77
  5. Step 5: Solve for x
    x = 3,817,383,080.77/81,229.71
  6. Step 6: Final answer
    x = 46,994.91

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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.