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Finding the Fourth Proportional to 57,969.50, 86,979.27 and 31,310.20

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Solution

The fourth proportional to 57,969.50, 86,979.27 and 31,310.20 is: 46,978.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,969.50 : 86,979.27 = 31,310.20 : x
  2. Step 2: Convert to fraction form
    57,969.50/86,979.27 = 31,310.20/x
  3. Step 3: Cross multiply
    57,969.50x = 86,979.27 × 31,310.20
  4. Step 4: Simplify right side
    57,969.50x = 2,723,337,904.66
  5. Step 5: Solve for x
    x = 2,723,337,904.66/57,969.50
  6. Step 6: Final answer
    x = 46,978.81

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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.