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Finding the Fourth Proportional to 117,787.26, 176,680.89 and 47,715.78

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Solution

The fourth proportional to 117,787.26, 176,680.89 and 47,715.78 is: 71,573.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,787.26 : 176,680.89 = 47,715.78 : x
  2. Step 2: Convert to fraction form
    117,787.26/176,680.89 = 47,715.78/x
  3. Step 3: Cross multiply
    117,787.26x = 176,680.89 × 47,715.78
  4. Step 4: Simplify right side
    117,787.26x = 8,430,466,477.44
  5. Step 5: Solve for x
    x = 8,430,466,477.44/117,787.26
  6. Step 6: Final answer
    x = 71,573.67

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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.