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Finding the Fourth Proportional to 149,220, 223,830 and 50,724

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Solution

The fourth proportional to 149,220, 223,830 and 50,724 is: 76,086

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,220 : 223,830 = 50,724 : x
  2. Step 2: Convert to fraction form
    149,220/223,830 = 50,724/x
  3. Step 3: Cross multiply
    149,220x = 223,830 × 50,724
  4. Step 4: Simplify right side
    149,220x = 11,353,552,920
  5. Step 5: Solve for x
    x = 11,353,552,920/149,220
  6. Step 6: Final answer
    x = 76,086

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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.