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Finding the Fourth Proportional to 66,872.34, 100,306.08 and 20,124

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Solution

The fourth proportional to 66,872.34, 100,306.08 and 20,124 is: 30,185.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,872.34 : 100,306.08 = 20,124 : x
  2. Step 2: Convert to fraction form
    66,872.34/100,306.08 = 20,124/x
  3. Step 3: Cross multiply
    66,872.34x = 100,306.08 × 20,124
  4. Step 4: Simplify right side
    66,872.34x = 2,018,559,553.92
  5. Step 5: Solve for x
    x = 2,018,559,553.92/66,872.34
  6. Step 6: Final answer
    x = 30,185.27

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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.