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Finding the Fourth Proportional to 10,069.99, 15,106.53 and 5,136.94

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Solution

The fourth proportional to 10,069.99, 15,106.53 and 5,136.94 is: 7,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069.99 : 15,106.53 = 5,136.94 : x
  2. Step 2: Convert to fraction form
    10,069.99/15,106.53 = 5,136.94/x
  3. Step 3: Cross multiply
    10,069.99x = 15,106.53 × 5,136.94
  4. Step 4: Simplify right side
    10,069.99x = 77,601,361.63
  5. Step 5: Solve for x
    x = 77,601,361.63/10,069.99
  6. Step 6: Final answer
    x = 7,706.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.