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Finding the Fourth Proportional to 260,651.13, 391,055.64 and 108,921.86

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Solution

The fourth proportional to 260,651.13, 391,055.64 and 108,921.86 is: 163,415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,651.13 : 391,055.64 = 108,921.86 : x
  2. Step 2: Convert to fraction form
    260,651.13/391,055.64 = 108,921.86/x
  3. Step 3: Cross multiply
    260,651.13x = 391,055.64 × 108,921.86
  4. Step 4: Simplify right side
    260,651.13x = 42,594,507,672.29
  5. Step 5: Solve for x
    x = 42,594,507,672.29/260,651.13
  6. Step 6: Final answer
    x = 163,415.78

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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.