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Finding the Fourth Proportional to 257,096.25, 385,644.38 and 109,352.25

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Solution

The fourth proportional to 257,096.25, 385,644.38 and 109,352.25 is: 164,028.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,096.25 : 385,644.38 = 109,352.25 : x
  2. Step 2: Convert to fraction form
    257,096.25/385,644.38 = 109,352.25/x
  3. Step 3: Cross multiply
    257,096.25x = 385,644.38 × 109,352.25
  4. Step 4: Simplify right side
    257,096.25x = 42,171,080,106.09
  5. Step 5: Solve for x
    x = 42,171,080,106.09/257,096.25
  6. Step 6: Final answer
    x = 164,028.38

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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.