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Finding the Fourth Proportional to 70,030, 105,045 and 20,782

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Solution

The fourth proportional to 70,030, 105,045 and 20,782 is: 31,173

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,030 : 105,045 = 20,782 : x
  2. Step 2: Convert to fraction form
    70,030/105,045 = 20,782/x
  3. Step 3: Cross multiply
    70,030x = 105,045 × 20,782
  4. Step 4: Simplify right side
    70,030x = 2,183,045,190
  5. Step 5: Solve for x
    x = 2,183,045,190/70,030
  6. Step 6: Final answer
    x = 31,173

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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.