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Finding the Fourth Proportional to 66,543, 91,829.40 and 36,735

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Solution

The fourth proportional to 66,543, 91,829.40 and 36,735 is: 50,694.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,543 : 91,829.40 = 36,735 : x
  2. Step 2: Convert to fraction form
    66,543/91,829.40 = 36,735/x
  3. Step 3: Cross multiply
    66,543x = 91,829.40 × 36,735
  4. Step 4: Simplify right side
    66,543x = 3,373,353,009
  5. Step 5: Solve for x
    x = 3,373,353,009/66,543
  6. Step 6: Final answer
    x = 50,694.33

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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.