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Finding the Fourth Proportional to 57,142.40, 85,719.24 and 19,697.54

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Solution

The fourth proportional to 57,142.40, 85,719.24 and 19,697.54 is: 29,548.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,142.40 : 85,719.24 = 19,697.54 : x
  2. Step 2: Convert to fraction form
    57,142.40/85,719.24 = 19,697.54/x
  3. Step 3: Cross multiply
    57,142.40x = 85,719.24 × 19,697.54
  4. Step 4: Simplify right side
    57,142.40x = 1,688,458,235.84
  5. Step 5: Solve for x
    x = 1,688,458,235.84/57,142.40
  6. Step 6: Final answer
    x = 29,548.26

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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.