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Finding the Fourth Proportional to 66,478, 91,739.64 and 36,670

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Solution

The fourth proportional to 66,478, 91,739.64 and 36,670 is: 50,604.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,478 : 91,739.64 = 36,670 : x
  2. Step 2: Convert to fraction form
    66,478/91,739.64 = 36,670/x
  3. Step 3: Cross multiply
    66,478x = 91,739.64 × 36,670
  4. Step 4: Simplify right side
    66,478x = 3,364,092,598.80
  5. Step 5: Solve for x
    x = 3,364,092,598.80/66,478
  6. Step 6: Final answer
    x = 50,604.60

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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.