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Finding the Fourth Proportional to 66,137.60, 91,270.32 and 37,844

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Solution

The fourth proportional to 66,137.60, 91,270.32 and 37,844 is: 52,224.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,137.60 : 91,270.32 = 37,844 : x
  2. Step 2: Convert to fraction form
    66,137.60/91,270.32 = 37,844/x
  3. Step 3: Cross multiply
    66,137.60x = 91,270.32 × 37,844
  4. Step 4: Simplify right side
    66,137.60x = 3,454,033,990.08
  5. Step 5: Solve for x
    x = 3,454,033,990.08/66,137.60
  6. Step 6: Final answer
    x = 52,224.97

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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.