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Finding the Fourth Proportional to 66,486, 91,750.68 and 36,678

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Solution

The fourth proportional to 66,486, 91,750.68 and 36,678 is: 50,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,486 : 91,750.68 = 36,678 : x
  2. Step 2: Convert to fraction form
    66,486/91,750.68 = 36,678/x
  3. Step 3: Cross multiply
    66,486x = 91,750.68 × 36,678
  4. Step 4: Simplify right side
    66,486x = 3,365,231,441.04
  5. Step 5: Solve for x
    x = 3,365,231,441.04/66,486
  6. Step 6: Final answer
    x = 50,615.64

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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.