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Finding the Fourth Proportional to 67,470, 101,205 and 18,222

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Solution

The fourth proportional to 67,470, 101,205 and 18,222 is: 27,333

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,470 : 101,205 = 18,222 : x
  2. Step 2: Convert to fraction form
    67,470/101,205 = 18,222/x
  3. Step 3: Cross multiply
    67,470x = 101,205 × 18,222
  4. Step 4: Simplify right side
    67,470x = 1,844,157,510
  5. Step 5: Solve for x
    x = 1,844,157,510/67,470
  6. Step 6: Final answer
    x = 27,333

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