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Finding the Fourth Proportional to 66,271.50, 91,454.67 and 36,463.50

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Solution

The fourth proportional to 66,271.50, 91,454.67 and 36,463.50 is: 50,319.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,271.50 : 91,454.67 = 36,463.50 : x
  2. Step 2: Convert to fraction form
    66,271.50/91,454.67 = 36,463.50/x
  3. Step 3: Cross multiply
    66,271.50x = 91,454.67 × 36,463.50
  4. Step 4: Simplify right side
    66,271.50x = 3,334,757,359.55
  5. Step 5: Solve for x
    x = 3,334,757,359.55/66,271.50
  6. Step 6: Final answer
    x = 50,319.63

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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.