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Finding the Fourth Proportional to 57,486.96, 86,232.87 and 20,050.80

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Solution

The fourth proportional to 57,486.96, 86,232.87 and 20,050.80 is: 30,077.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,486.96 : 86,232.87 = 20,050.80 : x
  2. Step 2: Convert to fraction form
    57,486.96/86,232.87 = 20,050.80/x
  3. Step 3: Cross multiply
    57,486.96x = 86,232.87 × 20,050.80
  4. Step 4: Simplify right side
    57,486.96x = 1,729,038,029.80
  5. Step 5: Solve for x
    x = 1,729,038,029.80/57,486.96
  6. Step 6: Final answer
    x = 30,077.05

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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.