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Finding the Fourth Proportional to 123,424.25, 185,136.98 and 29,930

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Solution

The fourth proportional to 123,424.25, 185,136.98 and 29,930 is: 44,895.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,424.25 : 185,136.98 = 29,930 : x
  2. Step 2: Convert to fraction form
    123,424.25/185,136.98 = 29,930/x
  3. Step 3: Cross multiply
    123,424.25x = 185,136.98 × 29,930
  4. Step 4: Simplify right side
    123,424.25x = 5,541,149,811.40
  5. Step 5: Solve for x
    x = 5,541,149,811.40/123,424.25
  6. Step 6: Final answer
    x = 44,895.15

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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.