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Finding the Fourth Proportional to 57,415.87, 86,125.43 and 15,862.87

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Solution

The fourth proportional to 57,415.87, 86,125.43 and 15,862.87 is: 23,794.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,415.87 : 86,125.43 = 15,862.87 : x
  2. Step 2: Convert to fraction form
    57,415.87/86,125.43 = 15,862.87/x
  3. Step 3: Cross multiply
    57,415.87x = 86,125.43 × 15,862.87
  4. Step 4: Simplify right side
    57,415.87x = 1,366,196,420.47
  5. Step 5: Solve for x
    x = 1,366,196,420.47/57,415.87
  6. Step 6: Final answer
    x = 23,794.75

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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.