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Finding the Fourth Proportional to 85,773.64, 128,704.32 and 40,845.76

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Solution

The fourth proportional to 85,773.64, 128,704.32 and 40,845.76 is: 61,289.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,773.64 : 128,704.32 = 40,845.76 : x
  2. Step 2: Convert to fraction form
    85,773.64/128,704.32 = 40,845.76/x
  3. Step 3: Cross multiply
    85,773.64x = 128,704.32 × 40,845.76
  4. Step 4: Simplify right side
    85,773.64x = 5,257,025,765.68
  5. Step 5: Solve for x
    x = 5,257,025,765.68/85,773.64
  6. Step 6: Final answer
    x = 61,289.53

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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.