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Finding the Fourth Proportional to 105,683, 145,843.62 and 63,249.80

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Solution

The fourth proportional to 105,683, 145,843.62 and 63,249.80 is: 87,285.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,683 : 145,843.62 = 63,249.80 : x
  2. Step 2: Convert to fraction form
    105,683/145,843.62 = 63,249.80/x
  3. Step 3: Cross multiply
    105,683x = 145,843.62 × 63,249.80
  4. Step 4: Simplify right side
    105,683x = 9,224,579,796.28
  5. Step 5: Solve for x
    x = 9,224,579,796.28/105,683
  6. Step 6: Final answer
    x = 87,285.37

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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.