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Finding the Fourth Proportional to 82,571.28, 113,958 and 49,037.28

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Solution

The fourth proportional to 82,571.28, 113,958 and 49,037.28 is: 67,677.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,571.28 : 113,958 = 49,037.28 : x
  2. Step 2: Convert to fraction form
    82,571.28/113,958 = 49,037.28/x
  3. Step 3: Cross multiply
    82,571.28x = 113,958 × 49,037.28
  4. Step 4: Simplify right side
    82,571.28x = 5,588,190,354.24
  5. Step 5: Solve for x
    x = 5,588,190,354.24/82,571.28
  6. Step 6: Final answer
    x = 67,677.17

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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.