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Finding the Fourth Proportional to 212,825.42, 319,236.21 and 81,497.42

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Solution

The fourth proportional to 212,825.42, 319,236.21 and 81,497.42 is: 122,245.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,825.42 : 319,236.21 = 81,497.42 : x
  2. Step 2: Convert to fraction form
    212,825.42/319,236.21 = 81,497.42/x
  3. Step 3: Cross multiply
    212,825.42x = 319,236.21 × 81,497.42
  4. Step 4: Simplify right side
    212,825.42x = 26,016,927,485.58
  5. Step 5: Solve for x
    x = 26,016,927,485.58/212,825.42
  6. Step 6: Final answer
    x = 122,245.39

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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.