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Finding the Fourth Proportional to 66,499.67, 91,769.35 and 36,284.78

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Solution

The fourth proportional to 66,499.67, 91,769.35 and 36,284.78 is: 50,072.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,499.67 : 91,769.35 = 36,284.78 : x
  2. Step 2: Convert to fraction form
    66,499.67/91,769.35 = 36,284.78/x
  3. Step 3: Cross multiply
    66,499.67x = 91,769.35 × 36,284.78
  4. Step 4: Simplify right side
    66,499.67x = 3,329,830,675.49
  5. Step 5: Solve for x
    x = 3,329,830,675.49/66,499.67
  6. Step 6: Final answer
    x = 50,072.89

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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.