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Finding the Fourth Proportional to 151,951.79, 209,706.10 and 83,982.04

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Solution

The fourth proportional to 151,951.79, 209,706.10 and 83,982.04 is: 115,902.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,951.79 : 209,706.10 = 83,982.04 : x
  2. Step 2: Convert to fraction form
    151,951.79/209,706.10 = 83,982.04/x
  3. Step 3: Cross multiply
    151,951.79x = 209,706.10 × 83,982.04
  4. Step 4: Simplify right side
    151,951.79x = 17,611,546,078.44
  5. Step 5: Solve for x
    x = 17,611,546,078.44/151,951.79
  6. Step 6: Final answer
    x = 115,902.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.