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Finding the Fourth Proportional to 66,003.82, 98,972.97 and 21,019.31

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Solution

The fourth proportional to 66,003.82, 98,972.97 and 21,019.31 is: 31,518.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,003.82 : 98,972.97 = 21,019.31 : x
  2. Step 2: Convert to fraction form
    66,003.82/98,972.97 = 21,019.31/x
  3. Step 3: Cross multiply
    66,003.82x = 98,972.97 × 21,019.31
  4. Step 4: Simplify right side
    66,003.82x = 2,080,343,661.77
  5. Step 5: Solve for x
    x = 2,080,343,661.77/66,003.82
  6. Step 6: Final answer
    x = 31,518.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.