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Finding the Fourth Proportional to 66,872.72, 100,243.10 and 31,836.98

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Solution

The fourth proportional to 66,872.72, 100,243.10 and 31,836.98 is: 47,724.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,872.72 : 100,243.10 = 31,836.98 : x
  2. Step 2: Convert to fraction form
    66,872.72/100,243.10 = 31,836.98/x
  3. Step 3: Cross multiply
    66,872.72x = 100,243.10 × 31,836.98
  4. Step 4: Simplify right side
    66,872.72x = 3,191,437,569.84
  5. Step 5: Solve for x
    x = 3,191,437,569.84/66,872.72
  6. Step 6: Final answer
    x = 47,724.06

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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.