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Finding the Fourth Proportional to 151,654.88, 209,284.16 and 84,591.20

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Solution

The fourth proportional to 151,654.88, 209,284.16 and 84,591.20 is: 116,736.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,654.88 : 209,284.16 = 84,591.20 : x
  2. Step 2: Convert to fraction form
    151,654.88/209,284.16 = 84,591.20/x
  3. Step 3: Cross multiply
    151,654.88x = 209,284.16 × 84,591.20
  4. Step 4: Simplify right side
    151,654.88x = 17,703,598,235.39
  5. Step 5: Solve for x
    x = 17,703,598,235.39/151,654.88
  6. Step 6: Final answer
    x = 116,736.09

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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.