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Finding the Fourth Proportional to 260,105, 390,157.56 and 73,116.56

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Solution

The fourth proportional to 260,105, 390,157.56 and 73,116.56 is: 109,674.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,105 : 390,157.56 = 73,116.56 : x
  2. Step 2: Convert to fraction form
    260,105/390,157.56 = 73,116.56/x
  3. Step 3: Cross multiply
    260,105x = 390,157.56 × 73,116.56
  4. Step 4: Simplify right side
    260,105x = 28,526,978,645.19
  5. Step 5: Solve for x
    x = 28,526,978,645.19/260,105
  6. Step 6: Final answer
    x = 109,674.86

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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.