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Finding the Fourth Proportional to 349,257.89, 523,872.26 and 99,939.89

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Solution

The fourth proportional to 349,257.89, 523,872.26 and 99,939.89 is: 149,905.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,257.89 : 523,872.26 = 99,939.89 : x
  2. Step 2: Convert to fraction form
    349,257.89/523,872.26 = 99,939.89/x
  3. Step 3: Cross multiply
    349,257.89x = 523,872.26 × 99,939.89
  4. Step 4: Simplify right side
    349,257.89x = 52,355,737,223.21
  5. Step 5: Solve for x
    x = 52,355,737,223.21/349,257.89
  6. Step 6: Final answer
    x = 149,905.67

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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.