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Finding the Fourth Proportional to 82,420, 113,740.31 and 44,694.25

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Solution

The fourth proportional to 82,420, 113,740.31 and 44,694.25 is: 61,678.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,420 : 113,740.31 = 44,694.25 : x
  2. Step 2: Convert to fraction form
    82,420/113,740.31 = 44,694.25/x
  3. Step 3: Cross multiply
    82,420x = 113,740.31 × 44,694.25
  4. Step 4: Simplify right side
    82,420x = 5,083,537,850.22
  5. Step 5: Solve for x
    x = 5,083,537,850.22/82,420
  6. Step 6: Final answer
    x = 61,678.45

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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.