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Finding the Fourth Proportional to 55,138, 82,641.12 and 20,036.56

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Solution

The fourth proportional to 55,138, 82,641.12 and 20,036.56 is: 30,030.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,138 : 82,641.12 = 20,036.56 : x
  2. Step 2: Convert to fraction form
    55,138/82,641.12 = 20,036.56/x
  3. Step 3: Cross multiply
    55,138x = 82,641.12 × 20,036.56
  4. Step 4: Simplify right side
    55,138x = 1,655,843,759.35
  5. Step 5: Solve for x
    x = 1,655,843,759.35/55,138
  6. Step 6: Final answer
    x = 30,030.90

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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.