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Finding the Fourth Proportional to 66,285, 91,473.48 and 36,477

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Solution

The fourth proportional to 66,285, 91,473.48 and 36,477 is: 50,338.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,285 : 91,473.48 = 36,477 : x
  2. Step 2: Convert to fraction form
    66,285/91,473.48 = 36,477/x
  3. Step 3: Cross multiply
    66,285x = 91,473.48 × 36,477
  4. Step 4: Simplify right side
    66,285x = 3,336,678,129.96
  5. Step 5: Solve for x
    x = 3,336,678,129.96/66,285
  6. Step 6: Final answer
    x = 50,338.36

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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.