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Finding the Fourth Proportional to 69,129.77, 103,696.02 and 21,743.86

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Solution

The fourth proportional to 69,129.77, 103,696.02 and 21,743.86 is: 32,616.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,129.77 : 103,696.02 = 21,743.86 : x
  2. Step 2: Convert to fraction form
    69,129.77/103,696.02 = 21,743.86/x
  3. Step 3: Cross multiply
    69,129.77x = 103,696.02 × 21,743.86
  4. Step 4: Simplify right side
    69,129.77x = 2,254,751,741.44
  5. Step 5: Solve for x
    x = 2,254,751,741.44/69,129.77
  6. Step 6: Final answer
    x = 32,616.22

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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.