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Finding the Fourth Proportional to 57,208.88, 85,809.47 and 19,769.46

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Solution

The fourth proportional to 57,208.88, 85,809.47 and 19,769.46 is: 29,652.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,208.88 : 85,809.47 = 19,769.46 : x
  2. Step 2: Convert to fraction form
    57,208.88/85,809.47 = 19,769.46/x
  3. Step 3: Cross multiply
    57,208.88x = 85,809.47 × 19,769.46
  4. Step 4: Simplify right side
    57,208.88x = 1,696,407,181.86
  5. Step 5: Solve for x
    x = 1,696,407,181.86/57,208.88
  6. Step 6: Final answer
    x = 29,652.87

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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.