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Finding the Fourth Proportional to 66,560, 99,843.24 and 19,813.28

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Solution

The fourth proportional to 66,560, 99,843.24 and 19,813.28 is: 29,720.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,560 : 99,843.24 = 19,813.28 : x
  2. Step 2: Convert to fraction form
    66,560/99,843.24 = 19,813.28/x
  3. Step 3: Cross multiply
    66,560x = 99,843.24 × 19,813.28
  4. Step 4: Simplify right side
    66,560x = 1,978,222,070.23
  5. Step 5: Solve for x
    x = 1,978,222,070.23/66,560
  6. Step 6: Final answer
    x = 29,720.88

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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.