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Finding the Fourth Proportional to 49,420.80, 74,116.80 and 17,827.20

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Solution

The fourth proportional to 49,420.80, 74,116.80 and 17,827.20 is: 26,735.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,420.80 : 74,116.80 = 17,827.20 : x
  2. Step 2: Convert to fraction form
    49,420.80/74,116.80 = 17,827.20/x
  3. Step 3: Cross multiply
    49,420.80x = 74,116.80 × 17,827.20
  4. Step 4: Simplify right side
    49,420.80x = 1,321,295,016.96
  5. Step 5: Solve for x
    x = 1,321,295,016.96/49,420.80
  6. Step 6: Final answer
    x = 26,735.61

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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.