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Finding the Fourth Proportional to 83,969.28, 115,900.74 and 57,156.68

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Solution

The fourth proportional to 83,969.28, 115,900.74 and 57,156.68 is: 78,891.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,969.28 : 115,900.74 = 57,156.68 : x
  2. Step 2: Convert to fraction form
    83,969.28/115,900.74 = 57,156.68/x
  3. Step 3: Cross multiply
    83,969.28x = 115,900.74 × 57,156.68
  4. Step 4: Simplify right side
    83,969.28x = 6,624,501,507.94
  5. Step 5: Solve for x
    x = 6,624,501,507.94/83,969.28
  6. Step 6: Final answer
    x = 78,891.97

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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.