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Finding the Fourth Proportional to 66,086, 91,186.92 and 37,405.52

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Solution

The fourth proportional to 66,086, 91,186.92 and 37,405.52 is: 51,612.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,086 : 91,186.92 = 37,405.52 : x
  2. Step 2: Convert to fraction form
    66,086/91,186.92 = 37,405.52/x
  3. Step 3: Cross multiply
    66,086x = 91,186.92 × 37,405.52
  4. Step 4: Simplify right side
    66,086x = 3,410,894,159.80
  5. Step 5: Solve for x
    x = 3,410,894,159.80/66,086
  6. Step 6: Final answer
    x = 51,612.96

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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.