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Finding the Fourth Proportional to 194,504, 268,415.52 and 105,080

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Solution

The fourth proportional to 194,504, 268,415.52 and 105,080 is: 145,010.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,504 : 268,415.52 = 105,080 : x
  2. Step 2: Convert to fraction form
    194,504/268,415.52 = 105,080/x
  3. Step 3: Cross multiply
    194,504x = 268,415.52 × 105,080
  4. Step 4: Simplify right side
    194,504x = 28,205,102,841.60
  5. Step 5: Solve for x
    x = 28,205,102,841.60/194,504
  6. Step 6: Final answer
    x = 145,010.40

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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.