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Finding the Fourth Proportional to 55,384.38, 83,076.84 and 13,831.38

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Solution

The fourth proportional to 55,384.38, 83,076.84 and 13,831.38 is: 20,747.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,384.38 : 83,076.84 = 13,831.38 : x
  2. Step 2: Convert to fraction form
    55,384.38/83,076.84 = 13,831.38/x
  3. Step 3: Cross multiply
    55,384.38x = 83,076.84 × 13,831.38
  4. Step 4: Simplify right side
    55,384.38x = 1,149,067,343.24
  5. Step 5: Solve for x
    x = 1,149,067,343.24/55,384.38
  6. Step 6: Final answer
    x = 20,747.14

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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.