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Finding the Fourth Proportional to 82,134.88, 113,243.45 and 68,542.51

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Solution

The fourth proportional to 82,134.88, 113,243.45 and 68,542.51 is: 94,502.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,134.88 : 113,243.45 = 68,542.51 : x
  2. Step 2: Convert to fraction form
    82,134.88/113,243.45 = 68,542.51/x
  3. Step 3: Cross multiply
    82,134.88x = 113,243.45 × 68,542.51
  4. Step 4: Simplify right side
    82,134.88x = 7,761,989,678.24
  5. Step 5: Solve for x
    x = 7,761,989,678.24/82,134.88
  6. Step 6: Final answer
    x = 94,502.97

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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.