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Finding the Fourth Proportional to 116,795, 161,177.28 and 66,494

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Solution

The fourth proportional to 116,795, 161,177.28 and 66,494 is: 91,761.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,795 : 161,177.28 = 66,494 : x
  2. Step 2: Convert to fraction form
    116,795/161,177.28 = 66,494/x
  3. Step 3: Cross multiply
    116,795x = 161,177.28 × 66,494
  4. Step 4: Simplify right side
    116,795x = 10,717,322,056.32
  5. Step 5: Solve for x
    x = 10,717,322,056.32/116,795
  6. Step 6: Final answer
    x = 91,761.82

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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.