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Finding the Fourth Proportional to 194,845, 268,886.11 and 105,421

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Solution

The fourth proportional to 194,845, 268,886.11 and 105,421 is: 145,480.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,845 : 268,886.11 = 105,421 : x
  2. Step 2: Convert to fraction form
    194,845/268,886.11 = 105,421/x
  3. Step 3: Cross multiply
    194,845x = 268,886.11 × 105,421
  4. Step 4: Simplify right side
    194,845x = 28,346,242,602.31
  5. Step 5: Solve for x
    x = 28,346,242,602.31/194,845
  6. Step 6: Final answer
    x = 145,480.99

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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.