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Finding the Fourth Proportional to 66,786, 92,164.68 and 36,978

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Solution

The fourth proportional to 66,786, 92,164.68 and 36,978 is: 51,029.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,786 : 92,164.68 = 36,978 : x
  2. Step 2: Convert to fraction form
    66,786/92,164.68 = 36,978/x
  3. Step 3: Cross multiply
    66,786x = 92,164.68 × 36,978
  4. Step 4: Simplify right side
    66,786x = 3,408,065,537.04
  5. Step 5: Solve for x
    x = 3,408,065,537.04/66,786
  6. Step 6: Final answer
    x = 51,029.64

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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.