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Finding the Fourth Proportional to 57,795, 86,717.54 and 20,381.80

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Solution

The fourth proportional to 57,795, 86,717.54 and 20,381.80 is: 30,581.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,795 : 86,717.54 = 20,381.80 : x
  2. Step 2: Convert to fraction form
    57,795/86,717.54 = 20,381.80/x
  3. Step 3: Cross multiply
    57,795x = 86,717.54 × 20,381.80
  4. Step 4: Simplify right side
    57,795x = 1,767,459,556.77
  5. Step 5: Solve for x
    x = 1,767,459,556.77/57,795
  6. Step 6: Final answer
    x = 30,581.53

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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.