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Finding the Fourth Proportional to 200,200.64, 276,503.64 and 136,427.72

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Solution

The fourth proportional to 200,200.64, 276,503.64 and 136,427.72 is: 188,424.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,200.64 : 276,503.64 = 136,427.72 : x
  2. Step 2: Convert to fraction form
    200,200.64/276,503.64 = 136,427.72/x
  3. Step 3: Cross multiply
    200,200.64x = 276,503.64 × 136,427.72
  4. Step 4: Simplify right side
    200,200.64x = 37,722,761,176.90
  5. Step 5: Solve for x
    x = 37,722,761,176.90/200,200.64
  6. Step 6: Final answer
    x = 188,424.78

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1.5x scale

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.