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Finding the Fourth Proportional to 57,978.57, 86,970.48 and 15,857.71

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Solution

The fourth proportional to 57,978.57, 86,970.48 and 15,857.71 is: 23,787.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,978.57 : 86,970.48 = 15,857.71 : x
  2. Step 2: Convert to fraction form
    57,978.57/86,970.48 = 15,857.71/x
  3. Step 3: Cross multiply
    57,978.57x = 86,970.48 × 15,857.71
  4. Step 4: Simplify right side
    57,978.57x = 1,379,152,650.40
  5. Step 5: Solve for x
    x = 1,379,152,650.40/57,978.57
  6. Step 6: Final answer
    x = 23,787.28

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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.