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Finding the Fourth Proportional to 199,377.86, 299,102.32 and 76,136.30

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Solution

The fourth proportional to 199,377.86, 299,102.32 and 76,136.30 is: 114,218.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,377.86 : 299,102.32 = 76,136.30 : x
  2. Step 2: Convert to fraction form
    199,377.86/299,102.32 = 76,136.30/x
  3. Step 3: Cross multiply
    199,377.86x = 299,102.32 × 76,136.30
  4. Step 4: Simplify right side
    199,377.86x = 22,772,545,369.96
  5. Step 5: Solve for x
    x = 22,772,545,369.96/199,377.86
  6. Step 6: Final answer
    x = 114,218.03

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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.