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Finding the Fourth Proportional to 66,564, 91,858.40 and 36,756

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Solution

The fourth proportional to 66,564, 91,858.40 and 36,756 is: 50,723.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,564 : 91,858.40 = 36,756 : x
  2. Step 2: Convert to fraction form
    66,564/91,858.40 = 36,756/x
  3. Step 3: Cross multiply
    66,564x = 91,858.40 × 36,756
  4. Step 4: Simplify right side
    66,564x = 3,376,347,350.40
  5. Step 5: Solve for x
    x = 3,376,347,350.40/66,564
  6. Step 6: Final answer
    x = 50,723.32

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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.