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Finding the Fourth Proportional to 194,759, 268,767.44 and 105,335

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Solution

The fourth proportional to 194,759, 268,767.44 and 105,335 is: 145,362.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,759 : 268,767.44 = 105,335 : x
  2. Step 2: Convert to fraction form
    194,759/268,767.44 = 105,335/x
  3. Step 3: Cross multiply
    194,759x = 268,767.44 × 105,335
  4. Step 4: Simplify right side
    194,759x = 28,310,618,292.40
  5. Step 5: Solve for x
    x = 28,310,618,292.40/194,759
  6. Step 6: Final answer
    x = 145,362.31

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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.