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Finding the Fourth Proportional to 81,765.99, 122,687.71 and 34,391.45

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Solution

The fourth proportional to 81,765.99, 122,687.71 and 34,391.45 is: 51,603.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,765.99 : 122,687.71 = 34,391.45 : x
  2. Step 2: Convert to fraction form
    81,765.99/122,687.71 = 34,391.45/x
  3. Step 3: Cross multiply
    81,765.99x = 122,687.71 × 34,391.45
  4. Step 4: Simplify right side
    81,765.99x = 4,219,408,464.82
  5. Step 5: Solve for x
    x = 4,219,408,464.82/81,765.99
  6. Step 6: Final answer
    x = 51,603.47

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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.