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Finding the Fourth Proportional to 69,128.77, 103,694.52 and 21,742.86

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Solution

The fourth proportional to 69,128.77, 103,694.52 and 21,742.86 is: 32,614.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,128.77 : 103,694.52 = 21,742.86 : x
  2. Step 2: Convert to fraction form
    69,128.77/103,694.52 = 21,742.86/x
  3. Step 3: Cross multiply
    69,128.77x = 103,694.52 × 21,742.86
  4. Step 4: Simplify right side
    69,128.77x = 2,254,615,431.13
  5. Step 5: Solve for x
    x = 2,254,615,431.13/69,128.77
  6. Step 6: Final answer
    x = 32,614.72

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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.