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Finding the Fourth Proportional to 209,745.86, 289,448.84 and 114,252.32

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Solution

The fourth proportional to 209,745.86, 289,448.84 and 114,252.32 is: 157,667.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,745.86 : 289,448.84 = 114,252.32 : x
  2. Step 2: Convert to fraction form
    209,745.86/289,448.84 = 114,252.32/x
  3. Step 3: Cross multiply
    209,745.86x = 289,448.84 × 114,252.32
  4. Step 4: Simplify right side
    209,745.86x = 33,070,202,500.56
  5. Step 5: Solve for x
    x = 33,070,202,500.56/209,745.86
  6. Step 6: Final answer
    x = 157,667.97

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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.