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Finding the Fourth Proportional to 57,539.64, 86,314.14 and 15,986.64

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Solution

The fourth proportional to 57,539.64, 86,314.14 and 15,986.64 is: 23,981.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,539.64 : 86,314.14 = 15,986.64 : x
  2. Step 2: Convert to fraction form
    57,539.64/86,314.14 = 15,986.64/x
  3. Step 3: Cross multiply
    57,539.64x = 86,314.14 × 15,986.64
  4. Step 4: Simplify right side
    57,539.64x = 1,379,873,083.09
  5. Step 5: Solve for x
    x = 1,379,873,083.09/57,539.64
  6. Step 6: Final answer
    x = 23,981.26

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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.