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Finding the Fourth Proportional to 188,419.86, 260,018.64 and 107,847

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Solution

The fourth proportional to 188,419.86, 260,018.64 and 107,847 is: 148,828.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,419.86 : 260,018.64 = 107,847 : x
  2. Step 2: Convert to fraction form
    188,419.86/260,018.64 = 107,847/x
  3. Step 3: Cross multiply
    188,419.86x = 260,018.64 × 107,847
  4. Step 4: Simplify right side
    188,419.86x = 28,042,230,268.08
  5. Step 5: Solve for x
    x = 28,042,230,268.08/188,419.86
  6. Step 6: Final answer
    x = 148,828.42

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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.