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Finding the Fourth Proportional to 55,459.38, 83,189.07 and 13,906.38

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Solution

The fourth proportional to 55,459.38, 83,189.07 and 13,906.38 is: 20,859.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,459.38 : 83,189.07 = 13,906.38 : x
  2. Step 2: Convert to fraction form
    55,459.38/83,189.07 = 13,906.38/x
  3. Step 3: Cross multiply
    55,459.38x = 83,189.07 × 13,906.38
  4. Step 4: Simplify right side
    55,459.38x = 1,156,858,819.27
  5. Step 5: Solve for x
    x = 1,156,858,819.27/55,459.38
  6. Step 6: Final answer
    x = 20,859.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.