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Finding the Fourth Proportional to 82,976.94, 124,465.43 and 20,647.44

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Solution

The fourth proportional to 82,976.94, 124,465.43 and 20,647.44 is: 30,971.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,976.94 : 124,465.43 = 20,647.44 : x
  2. Step 2: Convert to fraction form
    82,976.94/124,465.43 = 20,647.44/x
  3. Step 3: Cross multiply
    82,976.94x = 124,465.43 × 20,647.44
  4. Step 4: Simplify right side
    82,976.94x = 2,569,892,394.76
  5. Step 5: Solve for x
    x = 2,569,892,394.76/82,976.94
  6. Step 6: Final answer
    x = 30,971.16

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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.