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Finding the Fourth Proportional to 81,665, 122,529.19 and 31,780.14

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Solution

The fourth proportional to 81,665, 122,529.19 and 31,780.14 is: 47,682.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,665 : 122,529.19 = 31,780.14 : x
  2. Step 2: Convert to fraction form
    81,665/122,529.19 = 31,780.14/x
  3. Step 3: Cross multiply
    81,665x = 122,529.19 × 31,780.14
  4. Step 4: Simplify right side
    81,665x = 3,893,994,199.64
  5. Step 5: Solve for x
    x = 3,893,994,199.64/81,665
  6. Step 6: Final answer
    x = 47,682.53

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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.