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Finding the Fourth Proportional to 206,835.53, 310,081.06 and 80,446.06

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Solution

The fourth proportional to 206,835.53, 310,081.06 and 80,446.06 is: 120,602.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,835.53 : 310,081.06 = 80,446.06 : x
  2. Step 2: Convert to fraction form
    206,835.53/310,081.06 = 80,446.06/x
  3. Step 3: Cross multiply
    206,835.53x = 310,081.06 × 80,446.06
  4. Step 4: Simplify right side
    206,835.53x = 24,944,800,045.78
  5. Step 5: Solve for x
    x = 24,944,800,045.78/206,835.53
  6. Step 6: Final answer
    x = 120,602.11

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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.