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Finding the Fourth Proportional to 57,769.50, 86,654.26 and 20,833.50

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Solution

The fourth proportional to 57,769.50, 86,654.26 and 20,833.50 is: 31,250.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,769.50 : 86,654.26 = 20,833.50 : x
  2. Step 2: Convert to fraction form
    57,769.50/86,654.26 = 20,833.50/x
  3. Step 3: Cross multiply
    57,769.50x = 86,654.26 × 20,833.50
  4. Step 4: Simplify right side
    57,769.50x = 1,805,311,525.71
  5. Step 5: Solve for x
    x = 1,805,311,525.71/57,769.50
  6. Step 6: Final answer
    x = 31,250.25

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1.5x scale

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.