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Finding the Fourth Proportional to 117,380.44, 161,982.06 and 65,696.77

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Solution

The fourth proportional to 117,380.44, 161,982.06 and 65,696.77 is: 90,659.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,380.44 : 161,982.06 = 65,696.77 : x
  2. Step 2: Convert to fraction form
    117,380.44/161,982.06 = 65,696.77/x
  3. Step 3: Cross multiply
    117,380.44x = 161,982.06 × 65,696.77
  4. Step 4: Simplify right side
    117,380.44x = 10,641,697,330.04
  5. Step 5: Solve for x
    x = 10,641,697,330.04/117,380.44
  6. Step 6: Final answer
    x = 90,659.89

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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.