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Finding the Fourth Proportional to 82,116.40, 122,980.20 and 50,623.60

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Solution

The fourth proportional to 82,116.40, 122,980.20 and 50,623.60 is: 75,815.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,116.40 : 122,980.20 = 50,623.60 : x
  2. Step 2: Convert to fraction form
    82,116.40/122,980.20 = 50,623.60/x
  3. Step 3: Cross multiply
    82,116.40x = 122,980.20 × 50,623.60
  4. Step 4: Simplify right side
    82,116.40x = 6,225,700,452.72
  5. Step 5: Solve for x
    x = 6,225,700,452.72/82,116.40
  6. Step 6: Final answer
    x = 75,815.56

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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.