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Finding the Fourth Proportional to 194,424, 268,305.12 and 105,000

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Solution

The fourth proportional to 194,424, 268,305.12 and 105,000 is: 144,900

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,424 : 268,305.12 = 105,000 : x
  2. Step 2: Convert to fraction form
    194,424/268,305.12 = 105,000/x
  3. Step 3: Cross multiply
    194,424x = 268,305.12 × 105,000
  4. Step 4: Simplify right side
    194,424x = 28,172,037,600
  5. Step 5: Solve for x
    x = 28,172,037,600/194,424
  6. Step 6: Final answer
    x = 144,900

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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.