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Finding the Fourth Proportional to 66,647.28, 99,971.04 and 19,896.48

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Solution

The fourth proportional to 66,647.28, 99,971.04 and 19,896.48 is: 29,844.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,647.28 : 99,971.04 = 19,896.48 : x
  2. Step 2: Convert to fraction form
    66,647.28/99,971.04 = 19,896.48/x
  3. Step 3: Cross multiply
    66,647.28x = 99,971.04 × 19,896.48
  4. Step 4: Simplify right side
    66,647.28x = 1,989,071,797.94
  5. Step 5: Solve for x
    x = 1,989,071,797.94/66,647.28
  6. Step 6: Final answer
    x = 29,844.76

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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.