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Finding the Fourth Proportional to 49,916, 74,873.64 and 20,326.88

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Solution

The fourth proportional to 49,916, 74,873.64 and 20,326.88 is: 30,490.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,916 : 74,873.64 = 20,326.88 : x
  2. Step 2: Convert to fraction form
    49,916/74,873.64 = 20,326.88/x
  3. Step 3: Cross multiply
    49,916x = 74,873.64 × 20,326.88
  4. Step 4: Simplify right side
    49,916x = 1,521,947,495.44
  5. Step 5: Solve for x
    x = 1,521,947,495.44/49,916
  6. Step 6: Final answer
    x = 30,490.17

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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.