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Finding the Fourth Proportional to 49,904.60, 74,791.90 and 20,287.88

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Solution

The fourth proportional to 49,904.60, 74,791.90 and 20,287.88 is: 30,405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,904.60 : 74,791.90 = 20,287.88 : x
  2. Step 2: Convert to fraction form
    49,904.60/74,791.90 = 20,287.88/x
  3. Step 3: Cross multiply
    49,904.60x = 74,791.90 × 20,287.88
  4. Step 4: Simplify right side
    49,904.60x = 1,517,369,092.17
  5. Step 5: Solve for x
    x = 1,517,369,092.17/49,904.60
  6. Step 6: Final answer
    x = 30,405.40

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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.