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Finding the Fourth Proportional to 219,720, 303,213.60 and 119,118

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Solution

The fourth proportional to 219,720, 303,213.60 and 119,118 is: 164,382.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,720 : 303,213.60 = 119,118 : x
  2. Step 2: Convert to fraction form
    219,720/303,213.60 = 119,118/x
  3. Step 3: Cross multiply
    219,720x = 303,213.60 × 119,118
  4. Step 4: Simplify right side
    219,720x = 36,118,197,604.80
  5. Step 5: Solve for x
    x = 36,118,197,604.80/219,720
  6. Step 6: Final answer
    x = 164,382.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.