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Finding the Fourth Proportional to 115,383.84, 159,229.44 and 65,082.48

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Solution

The fourth proportional to 115,383.84, 159,229.44 and 65,082.48 is: 89,813.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,383.84 : 159,229.44 = 65,082.48 : x
  2. Step 2: Convert to fraction form
    115,383.84/159,229.44 = 65,082.48/x
  3. Step 3: Cross multiply
    115,383.84x = 159,229.44 × 65,082.48
  4. Step 4: Simplify right side
    115,383.84x = 10,363,046,844.21
  5. Step 5: Solve for x
    x = 10,363,046,844.21/115,383.84
  6. Step 6: Final answer
    x = 89,813.68

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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.