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Finding the Fourth Proportional to 69,139, 103,708.50 and 19,891

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Solution

The fourth proportional to 69,139, 103,708.50 and 19,891 is: 29,836.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,139 : 103,708.50 = 19,891 : x
  2. Step 2: Convert to fraction form
    69,139/103,708.50 = 19,891/x
  3. Step 3: Cross multiply
    69,139x = 103,708.50 × 19,891
  4. Step 4: Simplify right side
    69,139x = 2,062,865,773.50
  5. Step 5: Solve for x
    x = 2,062,865,773.50/69,139
  6. Step 6: Final answer
    x = 29,836.50

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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.