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Finding the Fourth Proportional to 194,570, 268,506.60 and 105,146

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Solution

The fourth proportional to 194,570, 268,506.60 and 105,146 is: 145,101.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,570 : 268,506.60 = 105,146 : x
  2. Step 2: Convert to fraction form
    194,570/268,506.60 = 105,146/x
  3. Step 3: Cross multiply
    194,570x = 268,506.60 × 105,146
  4. Step 4: Simplify right side
    194,570x = 28,232,394,963.60
  5. Step 5: Solve for x
    x = 28,232,394,963.60/194,570
  6. Step 6: Final answer
    x = 145,101.48

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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.