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Finding the Fourth Proportional to 194,409, 268,284.42 and 104,985

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Solution

The fourth proportional to 194,409, 268,284.42 and 104,985 is: 144,879.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,409 : 268,284.42 = 104,985 : x
  2. Step 2: Convert to fraction form
    194,409/268,284.42 = 104,985/x
  3. Step 3: Cross multiply
    194,409x = 268,284.42 × 104,985
  4. Step 4: Simplify right side
    194,409x = 28,165,839,833.70
  5. Step 5: Solve for x
    x = 28,165,839,833.70/194,409
  6. Step 6: Final answer
    x = 144,879.30

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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.