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Finding the Fourth Proportional to 206,325.80, 309,546.30 and 101,148.20

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Solution

The fourth proportional to 206,325.80, 309,546.30 and 101,148.20 is: 151,750.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,325.80 : 309,546.30 = 101,148.20 : x
  2. Step 2: Convert to fraction form
    206,325.80/309,546.30 = 101,148.20/x
  3. Step 3: Cross multiply
    206,325.80x = 309,546.30 × 101,148.20
  4. Step 4: Simplify right side
    206,325.80x = 31,310,051,061.66
  5. Step 5: Solve for x
    x = 31,310,051,061.66/206,325.80
  6. Step 6: Final answer
    x = 151,750.54

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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.