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Finding the Fourth Proportional to 81,203.74, 121,815.51 and 34,440.82

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Solution

The fourth proportional to 81,203.74, 121,815.51 and 34,440.82 is: 51,665.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,203.74 : 121,815.51 = 34,440.82 : x
  2. Step 2: Convert to fraction form
    81,203.74/121,815.51 = 34,440.82/x
  3. Step 3: Cross multiply
    81,203.74x = 121,815.51 × 34,440.82
  4. Step 4: Simplify right side
    81,203.74x = 4,195,426,053.12
  5. Step 5: Solve for x
    x = 4,195,426,053.12/81,203.74
  6. Step 6: Final answer
    x = 51,665.43

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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.