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Finding the Fourth Proportional to 70,470, 105,705 and 21,222

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Solution

The fourth proportional to 70,470, 105,705 and 21,222 is: 31,833

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,470 : 105,705 = 21,222 : x
  2. Step 2: Convert to fraction form
    70,470/105,705 = 21,222/x
  3. Step 3: Cross multiply
    70,470x = 105,705 × 21,222
  4. Step 4: Simplify right side
    70,470x = 2,243,271,510
  5. Step 5: Solve for x
    x = 2,243,271,510/70,470
  6. Step 6: Final answer
    x = 31,833

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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.