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Finding the Fourth Proportional to 120,601.74, 180,911.32 and 31,854.09

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Solution

The fourth proportional to 120,601.74, 180,911.32 and 31,854.09 is: 47,783.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,601.74 : 180,911.32 = 31,854.09 : x
  2. Step 2: Convert to fraction form
    120,601.74/180,911.32 = 31,854.09/x
  3. Step 3: Cross multiply
    120,601.74x = 180,911.32 × 31,854.09
  4. Step 4: Simplify right side
    120,601.74x = 5,762,766,247.26
  5. Step 5: Solve for x
    x = 5,762,766,247.26/120,601.74
  6. Step 6: Final answer
    x = 47,783.44

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1.5x scale

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.