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Finding the Fourth Proportional to 214,891.86, 322,348.51 and 81,782.44

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Solution

The fourth proportional to 214,891.86, 322,348.51 and 81,782.44 is: 122,677.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,891.86 : 322,348.51 = 81,782.44 : x
  2. Step 2: Convert to fraction form
    214,891.86/322,348.51 = 81,782.44/x
  3. Step 3: Cross multiply
    214,891.86x = 322,348.51 × 81,782.44
  4. Step 4: Simplify right side
    214,891.86x = 26,362,446,514.50
  5. Step 5: Solve for x
    x = 26,362,446,514.50/214,891.86
  6. Step 6: Final answer
    x = 122,677.73

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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.