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Finding the Fourth Proportional to 51,611, 77,429.50 and 14,675

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Solution

The fourth proportional to 51,611, 77,429.50 and 14,675 is: 22,016.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,611 : 77,429.50 = 14,675 : x
  2. Step 2: Convert to fraction form
    51,611/77,429.50 = 14,675/x
  3. Step 3: Cross multiply
    51,611x = 77,429.50 × 14,675
  4. Step 4: Simplify right side
    51,611x = 1,136,277,912.50
  5. Step 5: Solve for x
    x = 1,136,277,912.50/51,611
  6. Step 6: Final answer
    x = 22,016.20

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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.