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Finding the Fourth Proportional to 57,408, 86,113.61 and 15,855

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Solution

The fourth proportional to 57,408, 86,113.61 and 15,855 is: 23,782.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,408 : 86,113.61 = 15,855 : x
  2. Step 2: Convert to fraction form
    57,408/86,113.61 = 15,855/x
  3. Step 3: Cross multiply
    57,408x = 86,113.61 × 15,855
  4. Step 4: Simplify right side
    57,408x = 1,365,331,286.55
  5. Step 5: Solve for x
    x = 1,365,331,286.55/57,408
  6. Step 6: Final answer
    x = 23,782.94

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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.