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Finding the Fourth Proportional to 82,744.68, 124,062.64 and 54,578.84

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Solution

The fourth proportional to 82,744.68, 124,062.64 and 54,578.84 is: 81,832.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,744.68 : 124,062.64 = 54,578.84 : x
  2. Step 2: Convert to fraction form
    82,744.68/124,062.64 = 54,578.84/x
  3. Step 3: Cross multiply
    82,744.68x = 124,062.64 × 54,578.84
  4. Step 4: Simplify right side
    82,744.68x = 6,771,194,978.54
  5. Step 5: Solve for x
    x = 6,771,194,978.54/82,744.68
  6. Step 6: Final answer
    x = 81,832.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.