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Finding the Fourth Proportional to 71,865.63, 107,822.44 and 31,879.10

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Solution

The fourth proportional to 71,865.63, 107,822.44 and 31,879.10 is: 47,829.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,865.63 : 107,822.44 = 31,879.10 : x
  2. Step 2: Convert to fraction form
    71,865.63/107,822.44 = 31,879.10/x
  3. Step 3: Cross multiply
    71,865.63x = 107,822.44 × 31,879.10
  4. Step 4: Simplify right side
    71,865.63x = 3,437,282,347.00
  5. Step 5: Solve for x
    x = 3,437,282,347.00/71,865.63
  6. Step 6: Final answer
    x = 47,829.29

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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.