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Finding the Fourth Proportional to 57,978.52, 86,992.78 and 31,319.22

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Solution

The fourth proportional to 57,978.52, 86,992.78 and 31,319.22 is: 46,992.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,978.52 : 86,992.78 = 31,319.22 : x
  2. Step 2: Convert to fraction form
    57,978.52/86,992.78 = 31,319.22/x
  3. Step 3: Cross multiply
    57,978.52x = 86,992.78 × 31,319.22
  4. Step 4: Simplify right side
    57,978.52x = 2,724,546,015.23
  5. Step 5: Solve for x
    x = 2,724,546,015.23/57,978.52
  6. Step 6: Final answer
    x = 46,992.33

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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.