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Finding the Fourth Proportional to 57,770, 86,655 and 20,834

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Solution

The fourth proportional to 57,770, 86,655 and 20,834 is: 31,251

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,770 : 86,655 = 20,834 : x
  2. Step 2: Convert to fraction form
    57,770/86,655 = 20,834/x
  3. Step 3: Cross multiply
    57,770x = 86,655 × 20,834
  4. Step 4: Simplify right side
    57,770x = 1,805,370,270
  5. Step 5: Solve for x
    x = 1,805,370,270/57,770
  6. Step 6: Final answer
    x = 31,251

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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.