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Finding the Fourth Proportional to 151,788, 209,469.60 and 84,720

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Solution

The fourth proportional to 151,788, 209,469.60 and 84,720 is: 116,914.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,788 : 209,469.60 = 84,720 : x
  2. Step 2: Convert to fraction form
    151,788/209,469.60 = 84,720/x
  3. Step 3: Cross multiply
    151,788x = 209,469.60 × 84,720
  4. Step 4: Simplify right side
    151,788x = 17,746,264,512
  5. Step 5: Solve for x
    x = 17,746,264,512/151,788
  6. Step 6: Final answer
    x = 116,914.81

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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.