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Finding the Fourth Proportional to 117,150, 161,696.16 and 66,878.16

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Solution

The fourth proportional to 117,150, 161,696.16 and 66,878.16 is: 92,308.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,150 : 161,696.16 = 66,878.16 : x
  2. Step 2: Convert to fraction form
    117,150/161,696.16 = 66,878.16/x
  3. Step 3: Cross multiply
    117,150x = 161,696.16 × 66,878.16
  4. Step 4: Simplify right side
    117,150x = 10,813,941,659.87
  5. Step 5: Solve for x
    x = 10,813,941,659.87/117,150
  6. Step 6: Final answer
    x = 92,308.51

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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.