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Finding the Fourth Proportional to 194,460, 268,354.80 and 105,036

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Solution

The fourth proportional to 194,460, 268,354.80 and 105,036 is: 144,949.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,460 : 268,354.80 = 105,036 : x
  2. Step 2: Convert to fraction form
    194,460/268,354.80 = 105,036/x
  3. Step 3: Cross multiply
    194,460x = 268,354.80 × 105,036
  4. Step 4: Simplify right side
    194,460x = 28,186,914,772.80
  5. Step 5: Solve for x
    x = 28,186,914,772.80/194,460
  6. Step 6: Final answer
    x = 144,949.68

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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.