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Finding the Fourth Proportional to 57,769, 86,653.50 and 20,833

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Solution

The fourth proportional to 57,769, 86,653.50 and 20,833 is: 31,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,769 : 86,653.50 = 20,833 : x
  2. Step 2: Convert to fraction form
    57,769/86,653.50 = 20,833/x
  3. Step 3: Cross multiply
    57,769x = 86,653.50 × 20,833
  4. Step 4: Simplify right side
    57,769x = 1,805,252,365.50
  5. Step 5: Solve for x
    x = 1,805,252,365.50/57,769
  6. Step 6: Final answer
    x = 31,249.50

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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.