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Finding the Fourth Proportional to 120,509.20, 180,958.20 and 81,240.40

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Solution

The fourth proportional to 120,509.20, 180,958.20 and 81,240.40 is: 121,991.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,509.20 : 180,958.20 = 81,240.40 : x
  2. Step 2: Convert to fraction form
    120,509.20/180,958.20 = 81,240.40/x
  3. Step 3: Cross multiply
    120,509.20x = 180,958.20 × 81,240.40
  4. Step 4: Simplify right side
    120,509.20x = 14,701,116,551.28
  5. Step 5: Solve for x
    x = 14,701,116,551.28/120,509.20
  6. Step 6: Final answer
    x = 121,991.65

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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.