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Finding the Fourth Proportional to 259,098.86, 388,662.20 and 81,619.76

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Solution

The fourth proportional to 259,098.86, 388,662.20 and 81,619.76 is: 122,434.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,098.86 : 388,662.20 = 81,619.76 : x
  2. Step 2: Convert to fraction form
    259,098.86/388,662.20 = 81,619.76/x
  3. Step 3: Cross multiply
    259,098.86x = 388,662.20 × 81,619.76
  4. Step 4: Simplify right side
    259,098.86x = 31,722,515,485.07
  5. Step 5: Solve for x
    x = 31,722,515,485.07/259,098.86
  6. Step 6: Final answer
    x = 122,434.02

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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.