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Finding the Fourth Proportional to 60,205.76, 90,314.56 and 20,757.68

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Solution

The fourth proportional to 60,205.76, 90,314.56 and 20,757.68 is: 31,138.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,205.76 : 90,314.56 = 20,757.68 : x
  2. Step 2: Convert to fraction form
    60,205.76/90,314.56 = 20,757.68/x
  3. Step 3: Cross multiply
    60,205.76x = 90,314.56 × 20,757.68
  4. Step 4: Simplify right side
    60,205.76x = 1,874,720,735.82
  5. Step 5: Solve for x
    x = 1,874,720,735.82/60,205.76
  6. Step 6: Final answer
    x = 31,138.56

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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.