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Finding the Fourth Proportional to 203,208.72, 280,565.02 and 126,844.14

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Solution

The fourth proportional to 203,208.72, 280,565.02 and 126,844.14 is: 175,130.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,208.72 : 280,565.02 = 126,844.14 : x
  2. Step 2: Convert to fraction form
    203,208.72/280,565.02 = 126,844.14/x
  3. Step 3: Cross multiply
    203,208.72x = 280,565.02 × 126,844.14
  4. Step 4: Simplify right side
    203,208.72x = 35,588,028,675.98
  5. Step 5: Solve for x
    x = 35,588,028,675.98/203,208.72
  6. Step 6: Final answer
    x = 175,130.42

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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.