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Finding the Fourth Proportional to 206,170.32, 309,315.42 and 86,283.84

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Solution

The fourth proportional to 206,170.32, 309,315.42 and 86,283.84 is: 129,450.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,170.32 : 309,315.42 = 86,283.84 : x
  2. Step 2: Convert to fraction form
    206,170.32/309,315.42 = 86,283.84/x
  3. Step 3: Cross multiply
    206,170.32x = 309,315.42 × 86,283.84
  4. Step 4: Simplify right side
    206,170.32x = 26,688,922,208.81
  5. Step 5: Solve for x
    x = 26,688,922,208.81/206,170.32
  6. Step 6: Final answer
    x = 129,450.85

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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.