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Finding the Fourth Proportional to 99,506.88, 149,318.64 and 71,396.64

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Solution

The fourth proportional to 99,506.88, 149,318.64 and 71,396.64 is: 107,136.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,506.88 : 149,318.64 = 71,396.64 : x
  2. Step 2: Convert to fraction form
    99,506.88/149,318.64 = 71,396.64/x
  3. Step 3: Cross multiply
    99,506.88x = 149,318.64 × 71,396.64
  4. Step 4: Simplify right side
    99,506.88x = 10,660,849,185.37
  5. Step 5: Solve for x
    x = 10,660,849,185.37/99,506.88
  6. Step 6: Final answer
    x = 107,136.80

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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.