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Finding the Fourth Proportional to 260,773.56, 391,157.10 and 83,278.26

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Solution

The fourth proportional to 260,773.56, 391,157.10 and 83,278.26 is: 124,916.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,773.56 : 391,157.10 = 83,278.26 : x
  2. Step 2: Convert to fraction form
    260,773.56/391,157.10 = 83,278.26/x
  3. Step 3: Cross multiply
    260,773.56x = 391,157.10 × 83,278.26
  4. Step 4: Simplify right side
    260,773.56x = 32,574,882,674.65
  5. Step 5: Solve for x
    x = 32,574,882,674.65/260,773.56
  6. Step 6: Final answer
    x = 124,916.36

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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.