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Finding the Fourth Proportional to 49,817.88, 74,728.80 and 19,837.80

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Solution

The fourth proportional to 49,817.88, 74,728.80 and 19,837.80 is: 29,757.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,817.88 : 74,728.80 = 19,837.80 : x
  2. Step 2: Convert to fraction form
    49,817.88/74,728.80 = 19,837.80/x
  3. Step 3: Cross multiply
    49,817.88x = 74,728.80 × 19,837.80
  4. Step 4: Simplify right side
    49,817.88x = 1,482,454,988.64
  5. Step 5: Solve for x
    x = 1,482,454,988.64/49,817.88
  6. Step 6: Final answer
    x = 29,757.49

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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.