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Finding the Fourth Proportional to 253,085.64, 379,551.78 and 133,077.96

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Solution

The fourth proportional to 253,085.64, 379,551.78 and 133,077.96 is: 199,576.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,085.64 : 379,551.78 = 133,077.96 : x
  2. Step 2: Convert to fraction form
    253,085.64/379,551.78 = 133,077.96/x
  3. Step 3: Cross multiply
    253,085.64x = 379,551.78 × 133,077.96
  4. Step 4: Simplify right side
    253,085.64x = 50,509,976,596.77
  5. Step 5: Solve for x
    x = 50,509,976,596.77/253,085.64
  6. Step 6: Final answer
    x = 199,576.62

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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.