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Finding the Fourth Proportional to 194,847, 268,889.04 and 105,423

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Solution

The fourth proportional to 194,847, 268,889.04 and 105,423 is: 145,483.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,847 : 268,889.04 = 105,423 : x
  2. Step 2: Convert to fraction form
    194,847/268,889.04 = 105,423/x
  3. Step 3: Cross multiply
    194,847x = 268,889.04 × 105,423
  4. Step 4: Simplify right side
    194,847x = 28,347,089,263.92
  5. Step 5: Solve for x
    x = 28,347,089,263.92/194,847
  6. Step 6: Final answer
    x = 145,483.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.