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Finding the Fourth Proportional to 57,159.70, 78,879.37 and 31,665.99

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Solution

The fourth proportional to 57,159.70, 78,879.37 and 31,665.99 is: 43,698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,159.70 : 78,879.37 = 31,665.99 : x
  2. Step 2: Convert to fraction form
    57,159.70/78,879.37 = 31,665.99/x
  3. Step 3: Cross multiply
    57,159.70x = 78,879.37 × 31,665.99
  4. Step 4: Simplify right side
    57,159.70x = 2,497,793,173.94
  5. Step 5: Solve for x
    x = 2,497,793,173.94/57,159.70
  6. Step 6: Final answer
    x = 43,698.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.