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Finding the Fourth Proportional to 151,722, 209,376.36 and 84,654

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Solution

The fourth proportional to 151,722, 209,376.36 and 84,654 is: 116,822.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,722 : 209,376.36 = 84,654 : x
  2. Step 2: Convert to fraction form
    151,722/209,376.36 = 84,654/x
  3. Step 3: Cross multiply
    151,722x = 209,376.36 × 84,654
  4. Step 4: Simplify right side
    151,722x = 17,724,546,379.44
  5. Step 5: Solve for x
    x = 17,724,546,379.44/151,722
  6. Step 6: Final answer
    x = 116,822.52

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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.