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Finding the Fourth Proportional to 200,458, 276,640.68 and 111,034

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Solution

The fourth proportional to 200,458, 276,640.68 and 111,034 is: 153,231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,458 : 276,640.68 = 111,034 : x
  2. Step 2: Convert to fraction form
    200,458/276,640.68 = 111,034/x
  3. Step 3: Cross multiply
    200,458x = 276,640.68 × 111,034
  4. Step 4: Simplify right side
    200,458x = 30,716,521,263.12
  5. Step 5: Solve for x
    x = 30,716,521,263.12/200,458
  6. Step 6: Final answer
    x = 153,231.71

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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.