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Finding the Fourth Proportional to 200,255.64, 300,051.77 and 140,800.83

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Solution

The fourth proportional to 200,255.64, 300,051.77 and 140,800.83 is: 210,968.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,255.64 : 300,051.77 = 140,800.83 : x
  2. Step 2: Convert to fraction form
    200,255.64/300,051.77 = 140,800.83/x
  3. Step 3: Cross multiply
    200,255.64x = 300,051.77 × 140,800.83
  4. Step 4: Simplify right side
    200,255.64x = 42,247,538,258.97
  5. Step 5: Solve for x
    x = 42,247,538,258.97/200,255.64
  6. Step 6: Final answer
    x = 210,968.03

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1.5x scale

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.