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Finding the Fourth Proportional to 194,414, 268,291.32 and 104,990

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Solution

The fourth proportional to 194,414, 268,291.32 and 104,990 is: 144,886.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,414 : 268,291.32 = 104,990 : x
  2. Step 2: Convert to fraction form
    194,414/268,291.32 = 104,990/x
  3. Step 3: Cross multiply
    194,414x = 268,291.32 × 104,990
  4. Step 4: Simplify right side
    194,414x = 28,167,905,686.80
  5. Step 5: Solve for x
    x = 28,167,905,686.80/194,414
  6. Step 6: Final answer
    x = 144,886.20

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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.