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Finding the Fourth Proportional to 199,958, 300,085.40 and 94,777.20

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Solution

The fourth proportional to 199,958, 300,085.40 and 94,777.20 is: 142,236.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,958 : 300,085.40 = 94,777.20 : x
  2. Step 2: Convert to fraction form
    199,958/300,085.40 = 94,777.20/x
  3. Step 3: Cross multiply
    199,958x = 300,085.40 × 94,777.20
  4. Step 4: Simplify right side
    199,958x = 28,441,253,972.88
  5. Step 5: Solve for x
    x = 28,441,253,972.88/199,958
  6. Step 6: Final answer
    x = 142,236.14

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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.