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Finding the Fourth Proportional to 281,178.78, 421,723.53 and 131,522.94

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Solution

The fourth proportional to 281,178.78, 421,723.53 and 131,522.94 is: 197,263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,178.78 : 421,723.53 = 131,522.94 : x
  2. Step 2: Convert to fraction form
    281,178.78/421,723.53 = 131,522.94/x
  3. Step 3: Cross multiply
    281,178.78x = 421,723.53 × 131,522.94
  4. Step 4: Simplify right side
    281,178.78x = 55,466,318,532.78
  5. Step 5: Solve for x
    x = 55,466,318,532.78/281,178.78
  6. Step 6: Final answer
    x = 197,263.53

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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.