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Finding the Fourth Proportional to 260,652.13, 391,057.14 and 108,922.86

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Solution

The fourth proportional to 260,652.13, 391,057.14 and 108,922.86 is: 163,417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,652.13 : 391,057.14 = 108,922.86 : x
  2. Step 2: Convert to fraction form
    260,652.13/391,057.14 = 108,922.86/x
  3. Step 3: Cross multiply
    260,652.13x = 391,057.14 × 108,922.86
  4. Step 4: Simplify right side
    260,652.13x = 42,595,062,112.22
  5. Step 5: Solve for x
    x = 42,595,062,112.22/260,652.13
  6. Step 6: Final answer
    x = 163,417.28

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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.