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Finding the Fourth Proportional to 57,411.62, 86,119.05 and 15,858.62

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Solution

The fourth proportional to 57,411.62, 86,119.05 and 15,858.62 is: 23,788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,411.62 : 86,119.05 = 15,858.62 : x
  2. Step 2: Convert to fraction form
    57,411.62/86,119.05 = 15,858.62/x
  3. Step 3: Cross multiply
    57,411.62x = 86,119.05 × 15,858.62
  4. Step 4: Simplify right side
    57,411.62x = 1,365,729,288.71
  5. Step 5: Solve for x
    x = 1,365,729,288.71/57,411.62
  6. Step 6: Final answer
    x = 23,788.38

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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.