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Finding the Fourth Proportional to 66,786.50, 92,165.38 and 36,978.50

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Solution

The fourth proportional to 66,786.50, 92,165.38 and 36,978.50 is: 51,030.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,786.50 : 92,165.38 = 36,978.50 : x
  2. Step 2: Convert to fraction form
    66,786.50/92,165.38 = 36,978.50/x
  3. Step 3: Cross multiply
    66,786.50x = 92,165.38 × 36,978.50
  4. Step 4: Simplify right side
    66,786.50x = 3,408,137,504.33
  5. Step 5: Solve for x
    x = 3,408,137,504.33/66,786.50
  6. Step 6: Final answer
    x = 51,030.34

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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.