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Finding the Fourth Proportional to 57,163.80, 85,745.70 and 17,724.90

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Solution

The fourth proportional to 57,163.80, 85,745.70 and 17,724.90 is: 26,587.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,163.80 : 85,745.70 = 17,724.90 : x
  2. Step 2: Convert to fraction form
    57,163.80/85,745.70 = 17,724.90/x
  3. Step 3: Cross multiply
    57,163.80x = 85,745.70 × 17,724.90
  4. Step 4: Simplify right side
    57,163.80x = 1,519,833,957.93
  5. Step 5: Solve for x
    x = 1,519,833,957.93/57,163.80
  6. Step 6: Final answer
    x = 26,587.35

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1.5x scale

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.