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Finding the Fourth Proportional to 83,021.28, 114,593.76 and 47,231.28

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Solution

The fourth proportional to 83,021.28, 114,593.76 and 47,231.28 is: 65,193.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,021.28 : 114,593.76 = 47,231.28 : x
  2. Step 2: Convert to fraction form
    83,021.28/114,593.76 = 47,231.28/x
  3. Step 3: Cross multiply
    83,021.28x = 114,593.76 × 47,231.28
  4. Step 4: Simplify right side
    83,021.28x = 5,412,409,964.81
  5. Step 5: Solve for x
    x = 5,412,409,964.81/83,021.28
  6. Step 6: Final answer
    x = 65,193.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.