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Finding the Fourth Proportional to 259,492, 389,235.68 and 81,999.04

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Solution

The fourth proportional to 259,492, 389,235.68 and 81,999.04 is: 122,997.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,492 : 389,235.68 = 81,999.04 : x
  2. Step 2: Convert to fraction form
    259,492/389,235.68 = 81,999.04/x
  3. Step 3: Cross multiply
    259,492x = 389,235.68 × 81,999.04
  4. Step 4: Simplify right side
    259,492x = 31,916,952,093.75
  5. Step 5: Solve for x
    x = 31,916,952,093.75/259,492
  6. Step 6: Final answer
    x = 122,997.83

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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.