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Finding the Fourth Proportional to 70,464, 105,696 and 21,216

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Solution

The fourth proportional to 70,464, 105,696 and 21,216 is: 31,824

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,464 : 105,696 = 21,216 : x
  2. Step 2: Convert to fraction form
    70,464/105,696 = 21,216/x
  3. Step 3: Cross multiply
    70,464x = 105,696 × 21,216
  4. Step 4: Simplify right side
    70,464x = 2,242,446,336
  5. Step 5: Solve for x
    x = 2,242,446,336/70,464
  6. Step 6: Final answer
    x = 31,824

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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.