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Finding the Fourth Proportional to 81,661.92, 122,435.20 and 31,700.48

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Solution

The fourth proportional to 81,661.92, 122,435.20 and 31,700.48 is: 47,528.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,661.92 : 122,435.20 = 31,700.48 : x
  2. Step 2: Convert to fraction form
    81,661.92/122,435.20 = 31,700.48/x
  3. Step 3: Cross multiply
    81,661.92x = 122,435.20 × 31,700.48
  4. Step 4: Simplify right side
    81,661.92x = 3,881,254,608.90
  5. Step 5: Solve for x
    x = 3,881,254,608.90/81,661.92
  6. Step 6: Final answer
    x = 47,528.33

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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.