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Finding the Fourth Proportional to 120,476.48, 180,735.87 and 40,506.80

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Solution

The fourth proportional to 120,476.48, 180,735.87 and 40,506.80 is: 60,767.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,476.48 : 180,735.87 = 40,506.80 : x
  2. Step 2: Convert to fraction form
    120,476.48/180,735.87 = 40,506.80/x
  3. Step 3: Cross multiply
    120,476.48x = 180,735.87 × 40,506.80
  4. Step 4: Simplify right side
    120,476.48x = 7,321,031,738.92
  5. Step 5: Solve for x
    x = 7,321,031,738.92/120,476.48
  6. Step 6: Final answer
    x = 60,767.31

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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.