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Finding the Fourth Proportional to 82,679.94, 114,100.65 and 48,690.72

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Solution

The fourth proportional to 82,679.94, 114,100.65 and 48,690.72 is: 67,194.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,679.94 : 114,100.65 = 48,690.72 : x
  2. Step 2: Convert to fraction form
    82,679.94/114,100.65 = 48,690.72/x
  3. Step 3: Cross multiply
    82,679.94x = 114,100.65 × 48,690.72
  4. Step 4: Simplify right side
    82,679.94x = 5,555,642,800.97
  5. Step 5: Solve for x
    x = 5,555,642,800.97/82,679.94
  6. Step 6: Final answer
    x = 67,194.57

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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.