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Finding the Fourth Proportional to 194,899, 268,960.64 and 105,475

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Solution

The fourth proportional to 194,899, 268,960.64 and 105,475 is: 145,555.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,899 : 268,960.64 = 105,475 : x
  2. Step 2: Convert to fraction form
    194,899/268,960.64 = 105,475/x
  3. Step 3: Cross multiply
    194,899x = 268,960.64 × 105,475
  4. Step 4: Simplify right side
    194,899x = 28,368,623,504
  5. Step 5: Solve for x
    x = 28,368,623,504/194,899
  6. Step 6: Final answer
    x = 145,555.51

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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.