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Finding the Fourth Proportional to 70,216, 105,324 and 20,968

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Solution

The fourth proportional to 70,216, 105,324 and 20,968 is: 31,452

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,216 : 105,324 = 20,968 : x
  2. Step 2: Convert to fraction form
    70,216/105,324 = 20,968/x
  3. Step 3: Cross multiply
    70,216x = 105,324 × 20,968
  4. Step 4: Simplify right side
    70,216x = 2,208,433,632
  5. Step 5: Solve for x
    x = 2,208,433,632/70,216
  6. Step 6: Final answer
    x = 31,452

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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.