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Finding the Fourth Proportional to 81,652.52, 122,486.51 and 31,736.48

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Solution

The fourth proportional to 81,652.52, 122,486.51 and 31,736.48 is: 47,607.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,652.52 : 122,486.51 = 31,736.48 : x
  2. Step 2: Convert to fraction form
    81,652.52/122,486.51 = 31,736.48/x
  3. Step 3: Cross multiply
    81,652.52x = 122,486.51 × 31,736.48
  4. Step 4: Simplify right side
    81,652.52x = 3,887,290,141.79
  5. Step 5: Solve for x
    x = 3,887,290,141.79/81,652.52
  6. Step 6: Final answer
    x = 47,607.72

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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.