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Finding the Fourth Proportional to 81,643.28, 122,462.15 and 31,734.59

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Solution

The fourth proportional to 81,643.28, 122,462.15 and 31,734.59 is: 47,600.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,643.28 : 122,462.15 = 31,734.59 : x
  2. Step 2: Convert to fraction form
    81,643.28/122,462.15 = 31,734.59/x
  3. Step 3: Cross multiply
    81,643.28x = 122,462.15 × 31,734.59
  4. Step 4: Simplify right side
    81,643.28x = 3,886,285,349.78
  5. Step 5: Solve for x
    x = 3,886,285,349.78/81,643.28
  6. Step 6: Final answer
    x = 47,600.80

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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.