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Finding the Fourth Proportional to 219,816, 303,346.08 and 119,214

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Solution

The fourth proportional to 219,816, 303,346.08 and 119,214 is: 164,515.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,816 : 303,346.08 = 119,214 : x
  2. Step 2: Convert to fraction form
    219,816/303,346.08 = 119,214/x
  3. Step 3: Cross multiply
    219,816x = 303,346.08 × 119,214
  4. Step 4: Simplify right side
    219,816x = 36,163,099,581.12
  5. Step 5: Solve for x
    x = 36,163,099,581.12/219,816
  6. Step 6: Final answer
    x = 164,515.32

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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.