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Finding the Fourth Proportional to 269,205.69, 403,878.69 and 100,739.28

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Solution

The fourth proportional to 269,205.69, 403,878.69 and 100,739.28 is: 151,135.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,205.69 : 403,878.69 = 100,739.28 : x
  2. Step 2: Convert to fraction form
    269,205.69/403,878.69 = 100,739.28/x
  3. Step 3: Cross multiply
    269,205.69x = 403,878.69 × 100,739.28
  4. Step 4: Simplify right side
    269,205.69x = 40,686,448,437.94
  5. Step 5: Solve for x
    x = 40,686,448,437.94/269,205.69
  6. Step 6: Final answer
    x = 151,135.17

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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.