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Finding the Fourth Proportional to 70,476, 105,714 and 21,228

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Solution

The fourth proportional to 70,476, 105,714 and 21,228 is: 31,842

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,476 : 105,714 = 21,228 : x
  2. Step 2: Convert to fraction form
    70,476/105,714 = 21,228/x
  3. Step 3: Cross multiply
    70,476x = 105,714 × 21,228
  4. Step 4: Simplify right side
    70,476x = 2,244,096,792
  5. Step 5: Solve for x
    x = 2,244,096,792/70,476
  6. Step 6: Final answer
    x = 31,842

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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.