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Finding the Fourth Proportional to 116,758, 161,126.22 and 66,457

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Solution

The fourth proportional to 116,758, 161,126.22 and 66,457 is: 91,710.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,758 : 161,126.22 = 66,457 : x
  2. Step 2: Convert to fraction form
    116,758/161,126.22 = 66,457/x
  3. Step 3: Cross multiply
    116,758x = 161,126.22 × 66,457
  4. Step 4: Simplify right side
    116,758x = 10,707,965,202.54
  5. Step 5: Solve for x
    x = 10,707,965,202.54/116,758
  6. Step 6: Final answer
    x = 91,710.76

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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.