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Finding the Fourth Proportional to 253,797.90, 380,735.12 and 109,743.14

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Solution

The fourth proportional to 253,797.90, 380,735.12 and 109,743.14 is: 164,631.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,797.90 : 380,735.12 = 109,743.14 : x
  2. Step 2: Convert to fraction form
    253,797.90/380,735.12 = 109,743.14/x
  3. Step 3: Cross multiply
    253,797.90x = 380,735.12 × 109,743.14
  4. Step 4: Simplify right side
    253,797.90x = 41,783,065,124.69
  5. Step 5: Solve for x
    x = 41,783,065,124.69/253,797.90
  6. Step 6: Final answer
    x = 164,631.25

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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.