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Finding the Fourth Proportional to 55,386.38, 83,079.84 and 13,833.38

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Solution

The fourth proportional to 55,386.38, 83,079.84 and 13,833.38 is: 20,750.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,386.38 : 83,079.84 = 13,833.38 : x
  2. Step 2: Convert to fraction form
    55,386.38/83,079.84 = 13,833.38/x
  3. Step 3: Cross multiply
    55,386.38x = 83,079.84 × 13,833.38
  4. Step 4: Simplify right side
    55,386.38x = 1,149,274,997.06
  5. Step 5: Solve for x
    x = 1,149,274,997.06/55,386.38
  6. Step 6: Final answer
    x = 20,750.14

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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.