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Finding the Fourth Proportional to 57,775.75, 86,663.64 and 20,839.75

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Solution

The fourth proportional to 57,775.75, 86,663.64 and 20,839.75 is: 31,259.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,775.75 : 86,663.64 = 20,839.75 : x
  2. Step 2: Convert to fraction form
    57,775.75/86,663.64 = 20,839.75/x
  3. Step 3: Cross multiply
    57,775.75x = 86,663.64 × 20,839.75
  4. Step 4: Simplify right side
    57,775.75x = 1,806,048,591.69
  5. Step 5: Solve for x
    x = 1,806,048,591.69/57,775.75
  6. Step 6: Final answer
    x = 31,259.63

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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.