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Finding the Fourth Proportional to 203,467.54, 280,785.82 and 112,829.90

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Solution

The fourth proportional to 203,467.54, 280,785.82 and 112,829.90 is: 155,705.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,467.54 : 280,785.82 = 112,829.90 : x
  2. Step 2: Convert to fraction form
    203,467.54/280,785.82 = 112,829.90/x
  3. Step 3: Cross multiply
    203,467.54x = 280,785.82 × 112,829.90
  4. Step 4: Simplify right side
    203,467.54x = 31,681,035,992.02
  5. Step 5: Solve for x
    x = 31,681,035,992.02/203,467.54
  6. Step 6: Final answer
    x = 155,705.60

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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.