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Finding the Fourth Proportional to 66,533, 91,815.66 and 36,725

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Solution

The fourth proportional to 66,533, 91,815.66 and 36,725 is: 50,680.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,533 : 91,815.66 = 36,725 : x
  2. Step 2: Convert to fraction form
    66,533/91,815.66 = 36,725/x
  3. Step 3: Cross multiply
    66,533x = 91,815.66 × 36,725
  4. Step 4: Simplify right side
    66,533x = 3,371,930,113.50
  5. Step 5: Solve for x
    x = 3,371,930,113.50/66,533
  6. Step 6: Final answer
    x = 50,680.57

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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.