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Finding the Fourth Proportional to 55,634, 76,774.92 and 33,278

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Solution

The fourth proportional to 55,634, 76,774.92 and 33,278 is: 45,923.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,634 : 76,774.92 = 33,278 : x
  2. Step 2: Convert to fraction form
    55,634/76,774.92 = 33,278/x
  3. Step 3: Cross multiply
    55,634x = 76,774.92 × 33,278
  4. Step 4: Simplify right side
    55,634x = 2,554,915,787.76
  5. Step 5: Solve for x
    x = 2,554,915,787.76/55,634
  6. Step 6: Final answer
    x = 45,923.64

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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.