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Finding the Fourth Proportional to 206,405.20, 309,652.23 and 64,247.45

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Solution

The fourth proportional to 206,405.20, 309,652.23 and 64,247.45 is: 96,385.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,405.20 : 309,652.23 = 64,247.45 : x
  2. Step 2: Convert to fraction form
    206,405.20/309,652.23 = 64,247.45/x
  3. Step 3: Cross multiply
    206,405.20x = 309,652.23 × 64,247.45
  4. Step 4: Simplify right side
    206,405.20x = 19,894,366,164.31
  5. Step 5: Solve for x
    x = 19,894,366,164.31/206,405.20
  6. Step 6: Final answer
    x = 96,385.01

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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.