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Finding the Fourth Proportional to 57,147.21, 85,724.51 and 15,028.32

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Solution

The fourth proportional to 57,147.21, 85,724.51 and 15,028.32 is: 22,543.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,147.21 : 85,724.51 = 15,028.32 : x
  2. Step 2: Convert to fraction form
    57,147.21/85,724.51 = 15,028.32/x
  3. Step 3: Cross multiply
    57,147.21x = 85,724.51 × 15,028.32
  4. Step 4: Simplify right side
    57,147.21x = 1,288,295,368.12
  5. Step 5: Solve for x
    x = 1,288,295,368.12/57,147.21
  6. Step 6: Final answer
    x = 22,543.45

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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.