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Finding the Fourth Proportional to 70,296, 105,444 and 21,048

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Solution

The fourth proportional to 70,296, 105,444 and 21,048 is: 31,572

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,296 : 105,444 = 21,048 : x
  2. Step 2: Convert to fraction form
    70,296/105,444 = 21,048/x
  3. Step 3: Cross multiply
    70,296x = 105,444 × 21,048
  4. Step 4: Simplify right side
    70,296x = 2,219,385,312
  5. Step 5: Solve for x
    x = 2,219,385,312/70,296
  6. Step 6: Final answer
    x = 31,572

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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.