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Finding the Fourth Proportional to 206,521.60, 309,393.60 and 106,340.80

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Solution

The fourth proportional to 206,521.60, 309,393.60 and 106,340.80 is: 159,311.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,521.60 : 309,393.60 = 106,340.80 : x
  2. Step 2: Convert to fraction form
    206,521.60/309,393.60 = 106,340.80/x
  3. Step 3: Cross multiply
    206,521.60x = 309,393.60 × 106,340.80
  4. Step 4: Simplify right side
    206,521.60x = 32,901,162,938.88
  5. Step 5: Solve for x
    x = 32,901,162,938.88/206,521.60
  6. Step 6: Final answer
    x = 159,311.00

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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.