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Finding the Fourth Proportional to 70,698, 106,047 and 21,450

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Solution

The fourth proportional to 70,698, 106,047 and 21,450 is: 32,175

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,698 : 106,047 = 21,450 : x
  2. Step 2: Convert to fraction form
    70,698/106,047 = 21,450/x
  3. Step 3: Cross multiply
    70,698x = 106,047 × 21,450
  4. Step 4: Simplify right side
    70,698x = 2,274,708,150
  5. Step 5: Solve for x
    x = 2,274,708,150/70,698
  6. Step 6: Final answer
    x = 32,175

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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.