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Finding the Fourth Proportional to 66,563, 99,847.76 and 19,816.28

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Solution

The fourth proportional to 66,563, 99,847.76 and 19,816.28 is: 29,725.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,563 : 99,847.76 = 19,816.28 : x
  2. Step 2: Convert to fraction form
    66,563/99,847.76 = 19,816.28/x
  3. Step 3: Cross multiply
    66,563x = 99,847.76 × 19,816.28
  4. Step 4: Simplify right side
    66,563x = 1,978,611,169.53
  5. Step 5: Solve for x
    x = 1,978,611,169.53/66,563
  6. Step 6: Final answer
    x = 29,725.39

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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.