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Finding the Fourth Proportional to 81,651.60, 122,485.11 and 31,735.52

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Solution

The fourth proportional to 81,651.60, 122,485.11 and 31,735.52 is: 47,606.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,651.60 : 122,485.11 = 31,735.52 : x
  2. Step 2: Convert to fraction form
    81,651.60/122,485.11 = 31,735.52/x
  3. Step 3: Cross multiply
    81,651.60x = 122,485.11 × 31,735.52
  4. Step 4: Simplify right side
    81,651.60x = 3,887,128,658.11
  5. Step 5: Solve for x
    x = 3,887,128,658.11/81,651.60
  6. Step 6: Final answer
    x = 47,606.28

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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.