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Finding the Fourth Proportional to 70,517.72, 105,776.91 and 23,771

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Solution

The fourth proportional to 70,517.72, 105,776.91 and 23,771 is: 35,656.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,517.72 : 105,776.91 = 23,771 : x
  2. Step 2: Convert to fraction form
    70,517.72/105,776.91 = 23,771/x
  3. Step 3: Cross multiply
    70,517.72x = 105,776.91 × 23,771
  4. Step 4: Simplify right side
    70,517.72x = 2,514,422,927.61
  5. Step 5: Solve for x
    x = 2,514,422,927.61/70,517.72
  6. Step 6: Final answer
    x = 35,656.61

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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.