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Finding the Fourth Proportional to 116,977.97, 161,355.29 and 76,694.34

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Solution

The fourth proportional to 116,977.97, 161,355.29 and 76,694.34 is: 105,789.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,977.97 : 161,355.29 = 76,694.34 : x
  2. Step 2: Convert to fraction form
    116,977.97/161,355.29 = 76,694.34/x
  3. Step 3: Cross multiply
    116,977.97x = 161,355.29 × 76,694.34
  4. Step 4: Simplify right side
    116,977.97x = 12,375,037,088.59
  5. Step 5: Solve for x
    x = 12,375,037,088.59/116,977.97
  6. Step 6: Final answer
    x = 105,789.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.