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Finding the Fourth Proportional to 150,299, 207,412.68 and 83,231

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Solution

The fourth proportional to 150,299, 207,412.68 and 83,231 is: 114,858.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,299 : 207,412.68 = 83,231 : x
  2. Step 2: Convert to fraction form
    150,299/207,412.68 = 83,231/x
  3. Step 3: Cross multiply
    150,299x = 207,412.68 × 83,231
  4. Step 4: Simplify right side
    150,299x = 17,263,164,769.08
  5. Step 5: Solve for x
    x = 17,263,164,769.08/150,299
  6. Step 6: Final answer
    x = 114,858.81

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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.