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Finding the Fourth Proportional to 120,651.28, 180,992.00 and 36,411.31

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Solution

The fourth proportional to 120,651.28, 180,992.00 and 36,411.31 is: 54,621.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,651.28 : 180,992.00 = 36,411.31 : x
  2. Step 2: Convert to fraction form
    120,651.28/180,992.00 = 36,411.31/x
  3. Step 3: Cross multiply
    120,651.28x = 180,992.00 × 36,411.31
  4. Step 4: Simplify right side
    120,651.28x = 6,590,155,118.71
  5. Step 5: Solve for x
    x = 6,590,155,118.71/120,651.28
  6. Step 6: Final answer
    x = 54,621.51

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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.