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Finding the Fourth Proportional to 57,807.10, 86,716.41 and 15,687.87

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Solution

The fourth proportional to 57,807.10, 86,716.41 and 15,687.87 is: 23,533.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,807.10 : 86,716.41 = 15,687.87 : x
  2. Step 2: Convert to fraction form
    57,807.10/86,716.41 = 15,687.87/x
  3. Step 3: Cross multiply
    57,807.10x = 86,716.41 × 15,687.87
  4. Step 4: Simplify right side
    57,807.10x = 1,360,395,766.95
  5. Step 5: Solve for x
    x = 1,360,395,766.95/57,807.10
  6. Step 6: Final answer
    x = 23,533.37

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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.