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Finding the Fourth Proportional to 66,385, 91,611.30 and 36,577

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Solution

The fourth proportional to 66,385, 91,611.30 and 36,577 is: 50,476.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,385 : 91,611.30 = 36,577 : x
  2. Step 2: Convert to fraction form
    66,385/91,611.30 = 36,577/x
  3. Step 3: Cross multiply
    66,385x = 91,611.30 × 36,577
  4. Step 4: Simplify right side
    66,385x = 3,350,866,520.10
  5. Step 5: Solve for x
    x = 3,350,866,520.10/66,385
  6. Step 6: Final answer
    x = 50,476.26

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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.