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Finding the Fourth Proportional to 57,009.87, 85,514.81 and 15,456.87

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Solution

The fourth proportional to 57,009.87, 85,514.81 and 15,456.87 is: 23,185.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,009.87 : 85,514.81 = 15,456.87 : x
  2. Step 2: Convert to fraction form
    57,009.87/85,514.81 = 15,456.87/x
  3. Step 3: Cross multiply
    57,009.87x = 85,514.81 × 15,456.87
  4. Step 4: Simplify right side
    57,009.87x = 1,321,791,223.96
  5. Step 5: Solve for x
    x = 1,321,791,223.96/57,009.87
  6. Step 6: Final answer
    x = 23,185.31

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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.