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Finding the Fourth Proportional to 55,065.81, 75,990.82 and 32,709.81

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Solution

The fourth proportional to 55,065.81, 75,990.82 and 32,709.81 is: 45,139.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,065.81 : 75,990.82 = 32,709.81 : x
  2. Step 2: Convert to fraction form
    55,065.81/75,990.82 = 32,709.81/x
  3. Step 3: Cross multiply
    55,065.81x = 75,990.82 × 32,709.81
  4. Step 4: Simplify right side
    55,065.81x = 2,485,645,283.94
  5. Step 5: Solve for x
    x = 2,485,645,283.94/55,065.81
  6. Step 6: Final answer
    x = 45,139.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.