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Finding the Fourth Proportional to 55,665, 76,817.97 and 33,309

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Solution

The fourth proportional to 55,665, 76,817.97 and 33,309 is: 45,966.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,665 : 76,817.97 = 33,309 : x
  2. Step 2: Convert to fraction form
    55,665/76,817.97 = 33,309/x
  3. Step 3: Cross multiply
    55,665x = 76,817.97 × 33,309
  4. Step 4: Simplify right side
    55,665x = 2,558,729,762.73
  5. Step 5: Solve for x
    x = 2,558,729,762.73/55,665
  6. Step 6: Final answer
    x = 45,966.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.