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Finding the Fourth Proportional to 57,439, 86,153.52 and 19,989.40

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Solution

The fourth proportional to 57,439, 86,153.52 and 19,989.40 is: 29,982.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,439 : 86,153.52 = 19,989.40 : x
  2. Step 2: Convert to fraction form
    57,439/86,153.52 = 19,989.40/x
  3. Step 3: Cross multiply
    57,439x = 86,153.52 × 19,989.40
  4. Step 4: Simplify right side
    57,439x = 1,722,157,172.69
  5. Step 5: Solve for x
    x = 1,722,157,172.69/57,439
  6. Step 6: Final answer
    x = 29,982.37

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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.