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Finding the Fourth Proportional to 116,446.14, 160,753.68 and 78,917.22

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Solution

The fourth proportional to 116,446.14, 160,753.68 and 78,917.22 is: 108,945.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,446.14 : 160,753.68 = 78,917.22 : x
  2. Step 2: Convert to fraction form
    116,446.14/160,753.68 = 78,917.22/x
  3. Step 3: Cross multiply
    116,446.14x = 160,753.68 × 78,917.22
  4. Step 4: Simplify right side
    116,446.14x = 12,686,233,530.37
  5. Step 5: Solve for x
    x = 12,686,233,530.37/116,446.14
  6. Step 6: Final answer
    x = 108,945.08

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