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Finding the Fourth Proportional to 192,910.84, 289,016.30 and 142,434.88

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Solution

The fourth proportional to 192,910.84, 289,016.30 and 142,434.88 is: 213,393.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,910.84 : 289,016.30 = 142,434.88 : x
  2. Step 2: Convert to fraction form
    192,910.84/289,016.30 = 142,434.88/x
  3. Step 3: Cross multiply
    192,910.84x = 289,016.30 × 142,434.88
  4. Step 4: Simplify right side
    192,910.84x = 41,166,002,008.54
  5. Step 5: Solve for x
    x = 41,166,002,008.54/192,910.84
  6. Step 6: Final answer
    x = 213,393.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.