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Finding the Fourth Proportional to 188,701.62, 260,408.24 and 103,816.86

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Solution

The fourth proportional to 188,701.62, 260,408.24 and 103,816.86 is: 143,267.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,701.62 : 260,408.24 = 103,816.86 : x
  2. Step 2: Convert to fraction form
    188,701.62/260,408.24 = 103,816.86/x
  3. Step 3: Cross multiply
    188,701.62x = 260,408.24 × 103,816.86
  4. Step 4: Simplify right side
    188,701.62x = 27,034,765,794.93
  5. Step 5: Solve for x
    x = 27,034,765,794.93/188,701.62
  6. Step 6: Final answer
    x = 143,267.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.