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Finding the Fourth Proportional to 69,213.50, 103,837.59 and 19,965.50

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Solution

The fourth proportional to 69,213.50, 103,837.59 and 19,965.50 is: 29,953.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,213.50 : 103,837.59 = 19,965.50 : x
  2. Step 2: Convert to fraction form
    69,213.50/103,837.59 = 19,965.50/x
  3. Step 3: Cross multiply
    69,213.50x = 103,837.59 × 19,965.50
  4. Step 4: Simplify right side
    69,213.50x = 2,073,169,403.15
  5. Step 5: Solve for x
    x = 2,073,169,403.15/69,213.50
  6. Step 6: Final answer
    x = 29,953.25

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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.