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Finding the Fourth Proportional to 70,081, 105,136.86 and 26,305

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Solution

The fourth proportional to 70,081, 105,136.86 and 26,305 is: 39,463.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,081 : 105,136.86 = 26,305 : x
  2. Step 2: Convert to fraction form
    70,081/105,136.86 = 26,305/x
  3. Step 3: Cross multiply
    70,081x = 105,136.86 × 26,305
  4. Step 4: Simplify right side
    70,081x = 2,765,625,102.30
  5. Step 5: Solve for x
    x = 2,765,625,102.30/70,081
  6. Step 6: Final answer
    x = 39,463.27

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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.