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Finding the Fourth Proportional to 66,510, 91,783.92 and 36,702

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Solution

The fourth proportional to 66,510, 91,783.92 and 36,702 is: 50,648.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,510 : 91,783.92 = 36,702 : x
  2. Step 2: Convert to fraction form
    66,510/91,783.92 = 36,702/x
  3. Step 3: Cross multiply
    66,510x = 91,783.92 × 36,702
  4. Step 4: Simplify right side
    66,510x = 3,368,653,431.84
  5. Step 5: Solve for x
    x = 3,368,653,431.84/66,510
  6. Step 6: Final answer
    x = 50,648.83

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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.