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Finding the Fourth Proportional to 281,152.75, 421,729.53 and 114,940.75

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Solution

The fourth proportional to 281,152.75, 421,729.53 and 114,940.75 is: 172,411.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,152.75 : 421,729.53 = 114,940.75 : x
  2. Step 2: Convert to fraction form
    281,152.75/421,729.53 = 114,940.75/x
  3. Step 3: Cross multiply
    281,152.75x = 421,729.53 × 114,940.75
  4. Step 4: Simplify right side
    281,152.75x = 48,473,908,475.35
  5. Step 5: Solve for x
    x = 48,473,908,475.35/281,152.75
  6. Step 6: Final answer
    x = 172,411.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.