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Finding the Fourth Proportional to 69,189.78, 103,784.67 and 49,506.78

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Solution

The fourth proportional to 69,189.78, 103,784.67 and 49,506.78 is: 74,260.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,189.78 : 103,784.67 = 49,506.78 : x
  2. Step 2: Convert to fraction form
    69,189.78/103,784.67 = 49,506.78/x
  3. Step 3: Cross multiply
    69,189.78x = 103,784.67 × 49,506.78
  4. Step 4: Simplify right side
    69,189.78x = 5,138,044,825.06
  5. Step 5: Solve for x
    x = 5,138,044,825.06/69,189.78
  6. Step 6: Final answer
    x = 74,260.17

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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.