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Finding the Fourth Proportional to 51,085, 76,649.10 and 36,388.36

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Solution

The fourth proportional to 51,085, 76,649.10 and 36,388.36 is: 54,597.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,085 : 76,649.10 = 36,388.36 : x
  2. Step 2: Convert to fraction form
    51,085/76,649.10 = 36,388.36/x
  3. Step 3: Cross multiply
    51,085x = 76,649.10 × 36,388.36
  4. Step 4: Simplify right side
    51,085x = 2,789,135,044.48
  5. Step 5: Solve for x
    x = 2,789,135,044.48/51,085
  6. Step 6: Final answer
    x = 54,597.93

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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.