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Finding the Fourth Proportional to 266,419.07, 399,786.21 and 98,057.64

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Solution

The fourth proportional to 266,419.07, 399,786.21 and 98,057.64 is: 147,144.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,419.07 : 399,786.21 = 98,057.64 : x
  2. Step 2: Convert to fraction form
    266,419.07/399,786.21 = 98,057.64/x
  3. Step 3: Cross multiply
    266,419.07x = 399,786.21 × 98,057.64
  4. Step 4: Simplify right side
    266,419.07x = 39,202,092,257.14
  5. Step 5: Solve for x
    x = 39,202,092,257.14/266,419.07
  6. Step 6: Final answer
    x = 147,144.47

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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.