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Finding the Fourth Proportional to 81,658.98, 122,477.31 and 22,486.14

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Solution

The fourth proportional to 81,658.98, 122,477.31 and 22,486.14 is: 33,726.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,658.98 : 122,477.31 = 22,486.14 : x
  2. Step 2: Convert to fraction form
    81,658.98/122,477.31 = 22,486.14/x
  3. Step 3: Cross multiply
    81,658.98x = 122,477.31 × 22,486.14
  4. Step 4: Simplify right side
    81,658.98x = 2,754,041,939.48
  5. Step 5: Solve for x
    x = 2,754,041,939.48/81,658.98
  6. Step 6: Final answer
    x = 33,726.14

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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.