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Finding the Fourth Proportional to 81,888.72, 122,760.02 and 31,957.20

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Solution

The fourth proportional to 81,888.72, 122,760.02 and 31,957.20 is: 47,907.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,888.72 : 122,760.02 = 31,957.20 : x
  2. Step 2: Convert to fraction form
    81,888.72/122,760.02 = 31,957.20/x
  3. Step 3: Cross multiply
    81,888.72x = 122,760.02 × 31,957.20
  4. Step 4: Simplify right side
    81,888.72x = 3,923,066,511.14
  5. Step 5: Solve for x
    x = 3,923,066,511.14/81,888.72
  6. Step 6: Final answer
    x = 47,907.29

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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.