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Finding the Fourth Proportional to 200,819.36, 276,903.48 and 128,125

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Solution

The fourth proportional to 200,819.36, 276,903.48 and 128,125 is: 176,667.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,819.36 : 276,903.48 = 128,125 : x
  2. Step 2: Convert to fraction form
    200,819.36/276,903.48 = 128,125/x
  3. Step 3: Cross multiply
    200,819.36x = 276,903.48 × 128,125
  4. Step 4: Simplify right side
    200,819.36x = 35,478,258,375
  5. Step 5: Solve for x
    x = 35,478,258,375/200,819.36
  6. Step 6: Final answer
    x = 176,667.52

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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.