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Finding the Fourth Proportional to 206,153.62, 308,938.83 and 87,705.70

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Solution

The fourth proportional to 206,153.62, 308,938.83 and 87,705.70 is: 131,434.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,153.62 : 308,938.83 = 87,705.70 : x
  2. Step 2: Convert to fraction form
    206,153.62/308,938.83 = 87,705.70/x
  3. Step 3: Cross multiply
    206,153.62x = 308,938.83 × 87,705.70
  4. Step 4: Simplify right side
    206,153.62x = 27,095,696,342.33
  5. Step 5: Solve for x
    x = 27,095,696,342.33/206,153.62
  6. Step 6: Final answer
    x = 131,434.49

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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.