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Finding the Fourth Proportional to 83,259.48, 114,911.82 and 78,198.60

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Solution

The fourth proportional to 83,259.48, 114,911.82 and 78,198.60 is: 107,926.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,259.48 : 114,911.82 = 78,198.60 : x
  2. Step 2: Convert to fraction form
    83,259.48/114,911.82 = 78,198.60/x
  3. Step 3: Cross multiply
    83,259.48x = 114,911.82 × 78,198.60
  4. Step 4: Simplify right side
    83,259.48x = 8,985,943,447.45
  5. Step 5: Solve for x
    x = 8,985,943,447.45/83,259.48
  6. Step 6: Final answer
    x = 107,926.97

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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.