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Finding the Fourth Proportional to 219,966, 303,553.08 and 119,364

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Solution

The fourth proportional to 219,966, 303,553.08 and 119,364 is: 164,722.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,966 : 303,553.08 = 119,364 : x
  2. Step 2: Convert to fraction form
    219,966/303,553.08 = 119,364/x
  3. Step 3: Cross multiply
    219,966x = 303,553.08 × 119,364
  4. Step 4: Simplify right side
    219,966x = 36,233,309,841.12
  5. Step 5: Solve for x
    x = 36,233,309,841.12/219,966
  6. Step 6: Final answer
    x = 164,722.32

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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.