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Finding the Fourth Proportional to 66,343, 91,553.34 and 36,535

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Solution

The fourth proportional to 66,343, 91,553.34 and 36,535 is: 50,418.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,343 : 91,553.34 = 36,535 : x
  2. Step 2: Convert to fraction form
    66,343/91,553.34 = 36,535/x
  3. Step 3: Cross multiply
    66,343x = 91,553.34 × 36,535
  4. Step 4: Simplify right side
    66,343x = 3,344,901,276.90
  5. Step 5: Solve for x
    x = 3,344,901,276.90/66,343
  6. Step 6: Final answer
    x = 50,418.30

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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.