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Finding the Fourth Proportional to 209,189.32, 288,679.52 and 113,696.60

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Solution

The fourth proportional to 209,189.32, 288,679.52 and 113,696.60 is: 156,900.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,189.32 : 288,679.52 = 113,696.60 : x
  2. Step 2: Convert to fraction form
    209,189.32/288,679.52 = 113,696.60/x
  3. Step 3: Cross multiply
    209,189.32x = 288,679.52 × 113,696.60
  4. Step 4: Simplify right side
    209,189.32x = 32,821,879,913.63
  5. Step 5: Solve for x
    x = 32,821,879,913.63/209,189.32
  6. Step 6: Final answer
    x = 156,900.36

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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.