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Finding the Fourth Proportional to 66,500.70, 91,768.44 and 37,821.48

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Solution

The fourth proportional to 66,500.70, 91,768.44 and 37,821.48 is: 52,192.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,500.70 : 91,768.44 = 37,821.48 : x
  2. Step 2: Convert to fraction form
    66,500.70/91,768.44 = 37,821.48/x
  3. Step 3: Cross multiply
    66,500.70x = 91,768.44 × 37,821.48
  4. Step 4: Simplify right side
    66,500.70x = 3,470,818,218.09
  5. Step 5: Solve for x
    x = 3,470,818,218.09/66,500.70
  6. Step 6: Final answer
    x = 52,192.21

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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.