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Finding the Fourth Proportional to 81,478.80, 122,145.30 and 31,542.30

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Solution

The fourth proportional to 81,478.80, 122,145.30 and 31,542.30 is: 47,285.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,478.80 : 122,145.30 = 31,542.30 : x
  2. Step 2: Convert to fraction form
    81,478.80/122,145.30 = 31,542.30/x
  3. Step 3: Cross multiply
    81,478.80x = 122,145.30 × 31,542.30
  4. Step 4: Simplify right side
    81,478.80x = 3,852,743,696.19
  5. Step 5: Solve for x
    x = 3,852,743,696.19/81,478.80
  6. Step 6: Final answer
    x = 47,285.23

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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.