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Finding the Fourth Proportional to 206,235.84, 309,453.12 and 106,400.64

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Solution

The fourth proportional to 206,235.84, 309,453.12 and 106,400.64 is: 159,652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,235.84 : 309,453.12 = 106,400.64 : x
  2. Step 2: Convert to fraction form
    206,235.84/309,453.12 = 106,400.64/x
  3. Step 3: Cross multiply
    206,235.84x = 309,453.12 × 106,400.64
  4. Step 4: Simplify right side
    206,235.84x = 32,926,010,018.00
  5. Step 5: Solve for x
    x = 32,926,010,018.00/206,235.84
  6. Step 6: Final answer
    x = 159,652.22

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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.