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Finding the Fourth Proportional to 120,142.80, 180,216.60 and 31,390.80

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Solution

The fourth proportional to 120,142.80, 180,216.60 and 31,390.80 is: 47,086.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,142.80 : 180,216.60 = 31,390.80 : x
  2. Step 2: Convert to fraction form
    120,142.80/180,216.60 = 31,390.80/x
  3. Step 3: Cross multiply
    120,142.80x = 180,216.60 × 31,390.80
  4. Step 4: Simplify right side
    120,142.80x = 5,657,143,247.28
  5. Step 5: Solve for x
    x = 5,657,143,247.28/120,142.80
  6. Step 6: Final answer
    x = 47,086.83

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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.