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Finding the Fourth Proportional to 206,812.35, 310,218.53 and 101,836.35

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Solution

The fourth proportional to 206,812.35, 310,218.53 and 101,836.35 is: 152,754.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,812.35 : 310,218.53 = 101,836.35 : x
  2. Step 2: Convert to fraction form
    206,812.35/310,218.53 = 101,836.35/x
  3. Step 3: Cross multiply
    206,812.35x = 310,218.53 × 101,836.35
  4. Step 4: Simplify right side
    206,812.35x = 31,591,522,797.57
  5. Step 5: Solve for x
    x = 31,591,522,797.57/206,812.35
  6. Step 6: Final answer
    x = 152,754.53

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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.