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Finding the Fourth Proportional to 208,991.70, 288,496.79 and 141,100.59

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Solution

The fourth proportional to 208,991.70, 288,496.79 and 141,100.59 is: 194,778.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,991.70 : 288,496.79 = 141,100.59 : x
  2. Step 2: Convert to fraction form
    208,991.70/288,496.79 = 141,100.59/x
  3. Step 3: Cross multiply
    208,991.70x = 288,496.79 × 141,100.59
  4. Step 4: Simplify right side
    208,991.70x = 40,707,067,282.11
  5. Step 5: Solve for x
    x = 40,707,067,282.11/208,991.70
  6. Step 6: Final answer
    x = 194,778.39

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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.