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Finding the Fourth Proportional to 188,201.60, 282,345.68 and 55,078.72

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Solution

The fourth proportional to 188,201.60, 282,345.68 and 55,078.72 is: 82,630.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,201.60 : 282,345.68 = 55,078.72 : x
  2. Step 2: Convert to fraction form
    188,201.60/282,345.68 = 55,078.72/x
  3. Step 3: Cross multiply
    188,201.60x = 282,345.68 × 55,078.72
  4. Step 4: Simplify right side
    188,201.60x = 15,551,238,651.93
  5. Step 5: Solve for x
    x = 15,551,238,651.93/188,201.60
  6. Step 6: Final answer
    x = 82,630.75

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1.5x scale

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.