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Finding the Fourth Proportional to 213,380.83, 319,863.22 and 85,258.92

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Solution

The fourth proportional to 213,380.83, 319,863.22 and 85,258.92 is: 127,805.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,380.83 : 319,863.22 = 85,258.92 : x
  2. Step 2: Convert to fraction form
    213,380.83/319,863.22 = 85,258.92/x
  3. Step 3: Cross multiply
    213,380.83x = 319,863.22 × 85,258.92
  4. Step 4: Simplify right side
    213,380.83x = 27,271,192,684.92
  5. Step 5: Solve for x
    x = 27,271,192,684.92/213,380.83
  6. Step 6: Final answer
    x = 127,805.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.