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Finding the Fourth Proportional to 188,565.72, 260,183.32 and 105,782.32

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Solution

The fourth proportional to 188,565.72, 260,183.32 and 105,782.32 is: 145,958.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,565.72 : 260,183.32 = 105,782.32 : x
  2. Step 2: Convert to fraction form
    188,565.72/260,183.32 = 105,782.32/x
  3. Step 3: Cross multiply
    188,565.72x = 260,183.32 × 105,782.32
  4. Step 4: Simplify right side
    188,565.72x = 27,522,795,214.90
  5. Step 5: Solve for x
    x = 27,522,795,214.90/188,565.72
  6. Step 6: Final answer
    x = 145,958.64

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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.