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Finding the Fourth Proportional to 203,700, 281,110.32 and 114,276

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Solution

The fourth proportional to 203,700, 281,110.32 and 114,276 is: 157,703.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,700 : 281,110.32 = 114,276 : x
  2. Step 2: Convert to fraction form
    203,700/281,110.32 = 114,276/x
  3. Step 3: Cross multiply
    203,700x = 281,110.32 × 114,276
  4. Step 4: Simplify right side
    203,700x = 32,124,162,928.32
  5. Step 5: Solve for x
    x = 32,124,162,928.32/203,700
  6. Step 6: Final answer
    x = 157,703.30

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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.