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Finding the Fourth Proportional to 258,825.42, 388,254.87 and 81,339.84

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Solution

The fourth proportional to 258,825.42, 388,254.87 and 81,339.84 is: 122,015.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,825.42 : 388,254.87 = 81,339.84 : x
  2. Step 2: Convert to fraction form
    258,825.42/388,254.87 = 81,339.84/x
  3. Step 3: Cross multiply
    258,825.42x = 388,254.87 × 81,339.84
  4. Step 4: Simplify right side
    258,825.42x = 31,580,589,005.02
  5. Step 5: Solve for x
    x = 31,580,589,005.02/258,825.42
  6. Step 6: Final answer
    x = 122,015.02

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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.