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Finding the Fourth Proportional to 120,604.58, 180,915.58 and 31,856.94

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Solution

The fourth proportional to 120,604.58, 180,915.58 and 31,856.94 is: 47,787.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,604.58 : 180,915.58 = 31,856.94 : x
  2. Step 2: Convert to fraction form
    120,604.58/180,915.58 = 31,856.94/x
  3. Step 3: Cross multiply
    120,604.58x = 180,915.58 × 31,856.94
  4. Step 4: Simplify right side
    120,604.58x = 5,763,416,777.13
  5. Step 5: Solve for x
    x = 5,763,416,777.13/120,604.58
  6. Step 6: Final answer
    x = 47,787.71

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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.