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Finding the Fourth Proportional to 260,941.86, 391,436.70 and 81,028.32

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Solution

The fourth proportional to 260,941.86, 391,436.70 and 81,028.32 is: 121,549.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,941.86 : 391,436.70 = 81,028.32 : x
  2. Step 2: Convert to fraction form
    260,941.86/391,436.70 = 81,028.32/x
  3. Step 3: Cross multiply
    260,941.86x = 391,436.70 × 81,028.32
  4. Step 4: Simplify right side
    260,941.86x = 31,717,458,187.34
  5. Step 5: Solve for x
    x = 31,717,458,187.34/260,941.86
  6. Step 6: Final answer
    x = 121,549.90

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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.