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Finding the Fourth Proportional to 116,725.60, 161,052.06 and 65,728

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Solution

The fourth proportional to 116,725.60, 161,052.06 and 65,728 is: 90,688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,725.60 : 161,052.06 = 65,728 : x
  2. Step 2: Convert to fraction form
    116,725.60/161,052.06 = 65,728/x
  3. Step 3: Cross multiply
    116,725.60x = 161,052.06 × 65,728
  4. Step 4: Simplify right side
    116,725.60x = 10,585,629,799.68
  5. Step 5: Solve for x
    x = 10,585,629,799.68/116,725.60
  6. Step 6: Final answer
    x = 90,688.16

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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.