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Finding the Fourth Proportional to 81,840.98, 122,760.99 and 21,051.16

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Solution

The fourth proportional to 81,840.98, 122,760.99 and 21,051.16 is: 31,576.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,840.98 : 122,760.99 = 21,051.16 : x
  2. Step 2: Convert to fraction form
    81,840.98/122,760.99 = 21,051.16/x
  3. Step 3: Cross multiply
    81,840.98x = 122,760.99 × 21,051.16
  4. Step 4: Simplify right side
    81,840.98x = 2,584,260,935.35
  5. Step 5: Solve for x
    x = 2,584,260,935.35/81,840.98
  6. Step 6: Final answer
    x = 31,576.61

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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.