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Finding the Fourth Proportional to 260,356.90, 390,757.24 and 102,696.07

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Solution

The fourth proportional to 260,356.90, 390,757.24 and 102,696.07 is: 154,131.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,356.90 : 390,757.24 = 102,696.07 : x
  2. Step 2: Convert to fraction form
    260,356.90/390,757.24 = 102,696.07/x
  3. Step 3: Cross multiply
    260,356.90x = 390,757.24 × 102,696.07
  4. Step 4: Simplify right side
    260,356.90x = 40,129,232,872.05
  5. Step 5: Solve for x
    x = 40,129,232,872.05/260,356.90
  6. Step 6: Final answer
    x = 154,131.63

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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.