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Finding the Fourth Proportional to 172,822.80, 259,174.80 and 84,019.08

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Solution

The fourth proportional to 172,822.80, 259,174.80 and 84,019.08 is: 125,999.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,822.80 : 259,174.80 = 84,019.08 : x
  2. Step 2: Convert to fraction form
    172,822.80/259,174.80 = 84,019.08/x
  3. Step 3: Cross multiply
    172,822.80x = 259,174.80 × 84,019.08
  4. Step 4: Simplify right side
    172,822.80x = 21,775,628,255.18
  5. Step 5: Solve for x
    x = 21,775,628,255.18/172,822.80
  6. Step 6: Final answer
    x = 125,999.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.