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Finding the Fourth Proportional to 117,082.38, 161,533.86 and 66,089.10

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Solution

The fourth proportional to 117,082.38, 161,533.86 and 66,089.10 is: 91,180.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,082.38 : 161,533.86 = 66,089.10 : x
  2. Step 2: Convert to fraction form
    117,082.38/161,533.86 = 66,089.10/x
  3. Step 3: Cross multiply
    117,082.38x = 161,533.86 × 66,089.10
  4. Step 4: Simplify right side
    117,082.38x = 10,675,627,426.93
  5. Step 5: Solve for x
    x = 10,675,627,426.93/117,082.38
  6. Step 6: Final answer
    x = 91,180.48

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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.