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Finding the Fourth Proportional to 209,136, 313,565.30 and 76,000.44

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Solution

The fourth proportional to 209,136, 313,565.30 and 76,000.44 is: 113,950.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,136 : 313,565.30 = 76,000.44 : x
  2. Step 2: Convert to fraction form
    209,136/313,565.30 = 76,000.44/x
  3. Step 3: Cross multiply
    209,136x = 313,565.30 × 76,000.44
  4. Step 4: Simplify right side
    209,136x = 23,831,100,768.73
  5. Step 5: Solve for x
    x = 23,831,100,768.73/209,136
  6. Step 6: Final answer
    x = 113,950.26

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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.