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Finding the Fourth Proportional to 167,019, 230,359 and 143,774.80

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Solution

The fourth proportional to 167,019, 230,359 and 143,774.80 is: 198,299.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,019 : 230,359 = 143,774.80 : x
  2. Step 2: Convert to fraction form
    167,019/230,359 = 143,774.80/x
  3. Step 3: Cross multiply
    167,019x = 230,359 × 143,774.80
  4. Step 4: Simplify right side
    167,019x = 33,119,819,153.20
  5. Step 5: Solve for x
    x = 33,119,819,153.20/167,019
  6. Step 6: Final answer
    x = 198,299.71

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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.