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Finding the Fourth Proportional to 66,451, 91,702.38 and 36,643

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Solution

The fourth proportional to 66,451, 91,702.38 and 36,643 is: 50,567.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,451 : 91,702.38 = 36,643 : x
  2. Step 2: Convert to fraction form
    66,451/91,702.38 = 36,643/x
  3. Step 3: Cross multiply
    66,451x = 91,702.38 × 36,643
  4. Step 4: Simplify right side
    66,451x = 3,360,250,310.34
  5. Step 5: Solve for x
    x = 3,360,250,310.34/66,451
  6. Step 6: Final answer
    x = 50,567.34

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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.