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Finding the Fourth Proportional to 203,616.21, 281,005.79 and 112,989.32

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Solution

The fourth proportional to 203,616.21, 281,005.79 and 112,989.32 is: 155,933.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,616.21 : 281,005.79 = 112,989.32 : x
  2. Step 2: Convert to fraction form
    203,616.21/281,005.79 = 112,989.32/x
  3. Step 3: Cross multiply
    203,616.21x = 281,005.79 × 112,989.32
  4. Step 4: Simplify right side
    203,616.21x = 31,750,653,128.16
  5. Step 5: Solve for x
    x = 31,750,653,128.16/203,616.21
  6. Step 6: Final answer
    x = 155,933.82

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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.