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Finding the Fourth Proportional to 206,878.70, 310,318.05 and 128,146.70

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Solution

The fourth proportional to 206,878.70, 310,318.05 and 128,146.70 is: 192,220.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,878.70 : 310,318.05 = 128,146.70 : x
  2. Step 2: Convert to fraction form
    206,878.70/310,318.05 = 128,146.70/x
  3. Step 3: Cross multiply
    206,878.70x = 310,318.05 × 128,146.70
  4. Step 4: Simplify right side
    206,878.70x = 39,766,234,057.94
  5. Step 5: Solve for x
    x = 39,766,234,057.94/206,878.70
  6. Step 6: Final answer
    x = 192,220.05

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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.