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Finding the Fourth Proportional to 66,506.94, 91,778.36 and 36,291.49

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Solution

The fourth proportional to 66,506.94, 91,778.36 and 36,291.49 is: 50,081.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,506.94 : 91,778.36 = 36,291.49 : x
  2. Step 2: Convert to fraction form
    66,506.94/91,778.36 = 36,291.49/x
  3. Step 3: Cross multiply
    66,506.94x = 91,778.36 × 36,291.49
  4. Step 4: Simplify right side
    66,506.94x = 3,330,773,023.25
  5. Step 5: Solve for x
    x = 3,330,773,023.25/66,506.94
  6. Step 6: Final answer
    x = 50,081.59

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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.