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Finding the Fourth Proportional to 203,871.16, 281,345.68 and 111,994.32

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Solution

The fourth proportional to 203,871.16, 281,345.68 and 111,994.32 is: 154,554.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,871.16 : 281,345.68 = 111,994.32 : x
  2. Step 2: Convert to fraction form
    203,871.16/281,345.68 = 111,994.32/x
  3. Step 3: Cross multiply
    203,871.16x = 281,345.68 × 111,994.32
  4. Step 4: Simplify right side
    203,871.16x = 31,509,116,404.39
  5. Step 5: Solve for x
    x = 31,509,116,404.39/203,871.16
  6. Step 6: Final answer
    x = 154,554.07

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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.