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Finding the Fourth Proportional to 66,561, 99,844.74 and 19,814.28

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Solution

The fourth proportional to 66,561, 99,844.74 and 19,814.28 is: 29,722.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,561 : 99,844.74 = 19,814.28 : x
  2. Step 2: Convert to fraction form
    66,561/99,844.74 = 19,814.28/x
  3. Step 3: Cross multiply
    66,561x = 99,844.74 × 19,814.28
  4. Step 4: Simplify right side
    66,561x = 1,978,351,634.89
  5. Step 5: Solve for x
    x = 1,978,351,634.89/66,561
  6. Step 6: Final answer
    x = 29,722.38

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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.