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Finding the Fourth Proportional to 151,721.16, 209,375.07 and 84,653.16

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Solution

The fourth proportional to 151,721.16, 209,375.07 and 84,653.16 is: 116,821.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,721.16 : 209,375.07 = 84,653.16 : x
  2. Step 2: Convert to fraction form
    151,721.16/209,375.07 = 84,653.16/x
  3. Step 3: Cross multiply
    151,721.16x = 209,375.07 × 84,653.16
  4. Step 4: Simplify right side
    151,721.16x = 17,724,261,300.72
  5. Step 5: Solve for x
    x = 17,724,261,300.72/151,721.16
  6. Step 6: Final answer
    x = 116,821.29

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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.