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Finding the Fourth Proportional to 115,993.38, 160,082.10 and 65,014.77

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Solution

The fourth proportional to 115,993.38, 160,082.10 and 65,014.77 is: 89,726.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,993.38 : 160,082.10 = 65,014.77 : x
  2. Step 2: Convert to fraction form
    115,993.38/160,082.10 = 65,014.77/x
  3. Step 3: Cross multiply
    115,993.38x = 160,082.10 × 65,014.77
  4. Step 4: Simplify right side
    115,993.38x = 10,407,700,912.62
  5. Step 5: Solve for x
    x = 10,407,700,912.62/115,993.38
  6. Step 6: Final answer
    x = 89,726.68

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1.5x scale

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.