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Finding the Fourth Proportional to 206,275.68, 309,700.94 and 106,507.85

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Solution

The fourth proportional to 206,275.68, 309,700.94 and 106,507.85 is: 159,910.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,275.68 : 309,700.94 = 106,507.85 : x
  2. Step 2: Convert to fraction form
    206,275.68/309,700.94 = 106,507.85/x
  3. Step 3: Cross multiply
    206,275.68x = 309,700.94 × 106,507.85
  4. Step 4: Simplify right side
    206,275.68x = 32,985,579,181.34
  5. Step 5: Solve for x
    x = 32,985,579,181.34/206,275.68
  6. Step 6: Final answer
    x = 159,910.17

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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.