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Finding the Fourth Proportional to 206,445.84, 309,955.50 and 106,679.76

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Solution

The fourth proportional to 206,445.84, 309,955.50 and 106,679.76 is: 160,167.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,445.84 : 309,955.50 = 106,679.76 : x
  2. Step 2: Convert to fraction form
    206,445.84/309,955.50 = 106,679.76/x
  3. Step 3: Cross multiply
    206,445.84x = 309,955.50 × 106,679.76
  4. Step 4: Simplify right side
    206,445.84x = 33,065,978,350.68
  5. Step 5: Solve for x
    x = 33,065,978,350.68/206,445.84
  6. Step 6: Final answer
    x = 160,167.81

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1.5x scale

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.