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Finding the Fourth Proportional to 259,990.62, 389,968.65 and 102,245.82

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Solution

The fourth proportional to 259,990.62, 389,968.65 and 102,245.82 is: 153,361.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,990.62 : 389,968.65 = 102,245.82 : x
  2. Step 2: Convert to fraction form
    259,990.62/389,968.65 = 102,245.82/x
  3. Step 3: Cross multiply
    259,990.62x = 389,968.65 × 102,245.82
  4. Step 4: Simplify right side
    259,990.62x = 39,872,664,393.54
  5. Step 5: Solve for x
    x = 39,872,664,393.54/259,990.62
  6. Step 6: Final answer
    x = 153,361.93

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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.