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Finding the Fourth Proportional to 219,622, 303,079.44 and 119,020

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Solution

The fourth proportional to 219,622, 303,079.44 and 119,020 is: 164,248.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,622 : 303,079.44 = 119,020 : x
  2. Step 2: Convert to fraction form
    219,622/303,079.44 = 119,020/x
  3. Step 3: Cross multiply
    219,622x = 303,079.44 × 119,020
  4. Step 4: Simplify right side
    219,622x = 36,072,514,948.80
  5. Step 5: Solve for x
    x = 36,072,514,948.80/219,622
  6. Step 6: Final answer
    x = 164,248.19

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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.