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Finding the Fourth Proportional to 66,783, 92,160.60 and 36,975

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Solution

The fourth proportional to 66,783, 92,160.60 and 36,975 is: 51,025.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,783 : 92,160.60 = 36,975 : x
  2. Step 2: Convert to fraction form
    66,783/92,160.60 = 36,975/x
  3. Step 3: Cross multiply
    66,783x = 92,160.60 × 36,975
  4. Step 4: Simplify right side
    66,783x = 3,407,638,185
  5. Step 5: Solve for x
    x = 3,407,638,185/66,783
  6. Step 6: Final answer
    x = 51,025.53

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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.