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Finding the Fourth Proportional to 66,205.76, 91,358.52 and 38,977.52

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Solution

The fourth proportional to 66,205.76, 91,358.52 and 38,977.52 is: 53,785.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,205.76 : 91,358.52 = 38,977.52 : x
  2. Step 2: Convert to fraction form
    66,205.76/91,358.52 = 38,977.52/x
  3. Step 3: Cross multiply
    66,205.76x = 91,358.52 × 38,977.52
  4. Step 4: Simplify right side
    66,205.76x = 3,560,928,540.47
  5. Step 5: Solve for x
    x = 3,560,928,540.47/66,205.76
  6. Step 6: Final answer
    x = 53,785.78

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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.