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Finding the Fourth Proportional to 57,132.63, 85,704.62 and 19,687.68

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Solution

The fourth proportional to 57,132.63, 85,704.62 and 19,687.68 is: 29,533.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,132.63 : 85,704.62 = 19,687.68 : x
  2. Step 2: Convert to fraction form
    57,132.63/85,704.62 = 19,687.68/x
  3. Step 3: Cross multiply
    57,132.63x = 85,704.62 × 19,687.68
  4. Step 4: Simplify right side
    57,132.63x = 1,687,325,034.64
  5. Step 5: Solve for x
    x = 1,687,325,034.64/57,132.63
  6. Step 6: Final answer
    x = 29,533.47

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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.