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Finding the Fourth Proportional to 82,738.78, 114,179.16 and 45,013.84

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Solution

The fourth proportional to 82,738.78, 114,179.16 and 45,013.84 is: 62,118.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,738.78 : 114,179.16 = 45,013.84 : x
  2. Step 2: Convert to fraction form
    82,738.78/114,179.16 = 45,013.84/x
  3. Step 3: Cross multiply
    82,738.78x = 114,179.16 × 45,013.84
  4. Step 4: Simplify right side
    82,738.78x = 5,139,642,439.57
  5. Step 5: Solve for x
    x = 5,139,642,439.57/82,738.78
  6. Step 6: Final answer
    x = 62,118.91

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