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Finding the Fourth Proportional to 120,271.84, 180,310.54 and 50,203.60

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Solution

The fourth proportional to 120,271.84, 180,310.54 and 50,203.60 is: 75,264.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,271.84 : 180,310.54 = 50,203.60 : x
  2. Step 2: Convert to fraction form
    120,271.84/180,310.54 = 50,203.60/x
  3. Step 3: Cross multiply
    120,271.84x = 180,310.54 × 50,203.60
  4. Step 4: Simplify right side
    120,271.84x = 9,052,238,225.94
  5. Step 5: Solve for x
    x = 9,052,238,225.94/120,271.84
  6. Step 6: Final answer
    x = 75,264.82

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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.