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Finding the Fourth Proportional to 188,410.68, 260,021.21 and 107,863.47

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Solution

The fourth proportional to 188,410.68, 260,021.21 and 107,863.47 is: 148,859.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,410.68 : 260,021.21 = 107,863.47 : x
  2. Step 2: Convert to fraction form
    188,410.68/260,021.21 = 107,863.47/x
  3. Step 3: Cross multiply
    188,410.68x = 260,021.21 × 107,863.47
  4. Step 4: Simplify right side
    188,410.68x = 28,046,789,444.88
  5. Step 5: Solve for x
    x = 28,046,789,444.88/188,410.68
  6. Step 6: Final answer
    x = 148,859.87

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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.