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Finding the Fourth Proportional to 194,764, 268,774.34 and 105,340

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Solution

The fourth proportional to 194,764, 268,774.34 and 105,340 is: 145,369.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,764 : 268,774.34 = 105,340 : x
  2. Step 2: Convert to fraction form
    194,764/268,774.34 = 105,340/x
  3. Step 3: Cross multiply
    194,764x = 268,774.34 × 105,340
  4. Step 4: Simplify right side
    194,764x = 28,312,688,975.60
  5. Step 5: Solve for x
    x = 28,312,688,975.60/194,764
  6. Step 6: Final answer
    x = 145,369.21

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