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Finding the Fourth Proportional to 57,005, 85,507.54 and 15,452

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Solution

The fourth proportional to 57,005, 85,507.54 and 15,452 is: 23,178.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,005 : 85,507.54 = 15,452 : x
  2. Step 2: Convert to fraction form
    57,005/85,507.54 = 15,452/x
  3. Step 3: Cross multiply
    57,005x = 85,507.54 × 15,452
  4. Step 4: Simplify right side
    57,005x = 1,321,262,508.08
  5. Step 5: Solve for x
    x = 1,321,262,508.08/57,005
  6. Step 6: Final answer
    x = 23,178.01

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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.