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Finding the Fourth Proportional to 115,993.80, 160,084.77 and 65,020.32

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Solution

The fourth proportional to 115,993.80, 160,084.77 and 65,020.32 is: 89,735.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,993.80 : 160,084.77 = 65,020.32 : x
  2. Step 2: Convert to fraction form
    115,993.80/160,084.77 = 65,020.32/x
  3. Step 3: Cross multiply
    115,993.80x = 160,084.77 × 65,020.32
  4. Step 4: Simplify right side
    115,993.80x = 10,408,762,972.53
  5. Step 5: Solve for x
    x = 10,408,762,972.53/115,993.80
  6. Step 6: Final answer
    x = 89,735.51

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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.