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Finding the Fourth Proportional to 200,276, 276,378.60 and 109,630.88

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Solution

The fourth proportional to 200,276, 276,378.60 and 109,630.88 is: 151,289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,276 : 276,378.60 = 109,630.88 : x
  2. Step 2: Convert to fraction form
    200,276/276,378.60 = 109,630.88/x
  3. Step 3: Cross multiply
    200,276x = 276,378.60 × 109,630.88
  4. Step 4: Simplify right side
    200,276x = 30,299,629,131.17
  5. Step 5: Solve for x
    x = 30,299,629,131.17/200,276
  6. Step 6: Final answer
    x = 151,289.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.