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Finding the Fourth Proportional to 188,978.08, 283,306.20 and 83,739.64

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Solution

The fourth proportional to 188,978.08, 283,306.20 and 83,739.64 is: 125,538.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,978.08 : 283,306.20 = 83,739.64 : x
  2. Step 2: Convert to fraction form
    188,978.08/283,306.20 = 83,739.64/x
  3. Step 3: Cross multiply
    188,978.08x = 283,306.20 × 83,739.64
  4. Step 4: Simplify right side
    188,978.08x = 23,723,959,197.77
  5. Step 5: Solve for x
    x = 23,723,959,197.77/188,978.08
  6. Step 6: Final answer
    x = 125,538.15

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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.