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Finding the Fourth Proportional to 120,311.30, 180,492.06 and 36,068.06

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Solution

The fourth proportional to 120,311.30, 180,492.06 and 36,068.06 is: 54,109.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,311.30 : 180,492.06 = 36,068.06 : x
  2. Step 2: Convert to fraction form
    120,311.30/180,492.06 = 36,068.06/x
  3. Step 3: Cross multiply
    120,311.30x = 180,492.06 × 36,068.06
  4. Step 4: Simplify right side
    120,311.30x = 6,509,998,449.60
  5. Step 5: Solve for x
    x = 6,509,998,449.60/120,311.30
  6. Step 6: Final answer
    x = 54,109.62

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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.