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Finding the Fourth Proportional to 57,994.85, 86,967.68 and 20,564.35

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Solution

The fourth proportional to 57,994.85, 86,967.68 and 20,564.35 is: 30,837.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,994.85 : 86,967.68 = 20,564.35 : x
  2. Step 2: Convert to fraction form
    57,994.85/86,967.68 = 20,564.35/x
  3. Step 3: Cross multiply
    57,994.85x = 86,967.68 × 20,564.35
  4. Step 4: Simplify right side
    57,994.85x = 1,788,433,489.97
  5. Step 5: Solve for x
    x = 1,788,433,489.97/57,994.85
  6. Step 6: Final answer
    x = 30,837.80

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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.