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Finding the Fourth Proportional to 289,396.96, 434,111.84 and 89,745.73

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Solution

The fourth proportional to 289,396.96, 434,111.84 and 89,745.73 is: 134,623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,396.96 : 434,111.84 = 89,745.73 : x
  2. Step 2: Convert to fraction form
    289,396.96/434,111.84 = 89,745.73/x
  3. Step 3: Cross multiply
    289,396.96x = 434,111.84 × 89,745.73
  4. Step 4: Simplify right side
    289,396.96x = 38,959,681,363.16
  5. Step 5: Solve for x
    x = 38,959,681,363.16/289,396.96
  6. Step 6: Final answer
    x = 134,623.67

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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.