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Finding the Fourth Proportional to 66,511.84, 91,711.56 and 54,374.80

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Solution

The fourth proportional to 66,511.84, 91,711.56 and 54,374.80 is: 74,976.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,511.84 : 91,711.56 = 54,374.80 : x
  2. Step 2: Convert to fraction form
    66,511.84/91,711.56 = 54,374.80/x
  3. Step 3: Cross multiply
    66,511.84x = 91,711.56 × 54,374.80
  4. Step 4: Simplify right side
    66,511.84x = 4,986,797,732.69
  5. Step 5: Solve for x
    x = 4,986,797,732.69/66,511.84
  6. Step 6: Final answer
    x = 74,976.09

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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.