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Finding the Fourth Proportional to 209,375.82, 288,944.55 and 113,888.57

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Solution

The fourth proportional to 209,375.82, 288,944.55 and 113,888.57 is: 157,169.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,375.82 : 288,944.55 = 113,888.57 : x
  2. Step 2: Convert to fraction form
    209,375.82/288,944.55 = 113,888.57/x
  3. Step 3: Cross multiply
    209,375.82x = 288,944.55 × 113,888.57
  4. Step 4: Simplify right side
    209,375.82x = 32,907,480,164.07
  5. Step 5: Solve for x
    x = 32,907,480,164.07/209,375.82
  6. Step 6: Final answer
    x = 157,169.44

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1.5x scale

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.