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Finding the Fourth Proportional to 200,364, 300,649.68 and 101,868

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Solution

The fourth proportional to 200,364, 300,649.68 and 101,868 is: 152,854.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,364 : 300,649.68 = 101,868 : x
  2. Step 2: Convert to fraction form
    200,364/300,649.68 = 101,868/x
  3. Step 3: Cross multiply
    200,364x = 300,649.68 × 101,868
  4. Step 4: Simplify right side
    200,364x = 30,626,581,602.24
  5. Step 5: Solve for x
    x = 30,626,581,602.24/200,364
  6. Step 6: Final answer
    x = 152,854.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.