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Finding the Fourth Proportional to 77,014, 115,521 and 27,766

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Solution

The fourth proportional to 77,014, 115,521 and 27,766 is: 41,649

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,014 : 115,521 = 27,766 : x
  2. Step 2: Convert to fraction form
    77,014/115,521 = 27,766/x
  3. Step 3: Cross multiply
    77,014x = 115,521 × 27,766
  4. Step 4: Simplify right side
    77,014x = 3,207,556,086
  5. Step 5: Solve for x
    x = 3,207,556,086/77,014
  6. Step 6: Final answer
    x = 41,649

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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.