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Finding the Fourth Proportional to 66,377.17, 99,544.22 and 21,992

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Solution

The fourth proportional to 66,377.17, 99,544.22 and 21,992 is: 32,980.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,377.17 : 99,544.22 = 21,992 : x
  2. Step 2: Convert to fraction form
    66,377.17/99,544.22 = 21,992/x
  3. Step 3: Cross multiply
    66,377.17x = 99,544.22 × 21,992
  4. Step 4: Simplify right side
    66,377.17x = 2,189,176,486.24
  5. Step 5: Solve for x
    x = 2,189,176,486.24/66,377.17
  6. Step 6: Final answer
    x = 32,980.87

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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.