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Finding the Fourth Proportional to 81,333.51, 121,976.79 and 28,023.31

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Solution

The fourth proportional to 81,333.51, 121,976.79 and 28,023.31 is: 42,026.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,333.51 : 121,976.79 = 28,023.31 : x
  2. Step 2: Convert to fraction form
    81,333.51/121,976.79 = 28,023.31/x
  3. Step 3: Cross multiply
    81,333.51x = 121,976.79 × 28,023.31
  4. Step 4: Simplify right side
    81,333.51x = 3,418,193,398.97
  5. Step 5: Solve for x
    x = 3,418,193,398.97/81,333.51
  6. Step 6: Final answer
    x = 42,026.88

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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.