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Finding the Fourth Proportional to 70,012, 105,018 and 20,764

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Solution

The fourth proportional to 70,012, 105,018 and 20,764 is: 31,146

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,012 : 105,018 = 20,764 : x
  2. Step 2: Convert to fraction form
    70,012/105,018 = 20,764/x
  3. Step 3: Cross multiply
    70,012x = 105,018 × 20,764
  4. Step 4: Simplify right side
    70,012x = 2,180,593,752
  5. Step 5: Solve for x
    x = 2,180,593,752/70,012
  6. Step 6: Final answer
    x = 31,146

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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.