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Finding the Fourth Proportional to 209,675, 289,342.82 and 114,181.48

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Solution

The fourth proportional to 209,675, 289,342.82 and 114,181.48 is: 157,565.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,675 : 289,342.82 = 114,181.48 : x
  2. Step 2: Convert to fraction form
    209,675/289,342.82 = 114,181.48/x
  3. Step 3: Cross multiply
    209,675x = 289,342.82 × 114,181.48
  4. Step 4: Simplify right side
    209,675x = 33,037,591,414.97
  5. Step 5: Solve for x
    x = 33,037,591,414.97/209,675
  6. Step 6: Final answer
    x = 157,565.72

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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.