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Finding the Fourth Proportional to 57,153.67, 85,734.62 and 19,713.20

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Solution

The fourth proportional to 57,153.67, 85,734.62 and 19,713.20 is: 29,571.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,153.67 : 85,734.62 = 19,713.20 : x
  2. Step 2: Convert to fraction form
    57,153.67/85,734.62 = 19,713.20/x
  3. Step 3: Cross multiply
    57,153.67x = 85,734.62 × 19,713.20
  4. Step 4: Simplify right side
    57,153.67x = 1,690,103,710.98
  5. Step 5: Solve for x
    x = 1,690,103,710.98/57,153.67
  6. Step 6: Final answer
    x = 29,571.22

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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.