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Finding the Fourth Proportional to 55,204.77, 82,831.77 and 20,136.23

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Solution

The fourth proportional to 55,204.77, 82,831.77 and 20,136.23 is: 30,213.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,204.77 : 82,831.77 = 20,136.23 : x
  2. Step 2: Convert to fraction form
    55,204.77/82,831.77 = 20,136.23/x
  3. Step 3: Cross multiply
    55,204.77x = 82,831.77 × 20,136.23
  4. Step 4: Simplify right side
    55,204.77x = 1,667,919,157.87
  5. Step 5: Solve for x
    x = 1,667,919,157.87/55,204.77
  6. Step 6: Final answer
    x = 30,213.32

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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.