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Finding the Fourth Proportional to 172,896.41, 258,999.55 and 83,879.84

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Solution

The fourth proportional to 172,896.41, 258,999.55 and 83,879.84 is: 125,652.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,896.41 : 258,999.55 = 83,879.84 : x
  2. Step 2: Convert to fraction form
    172,896.41/258,999.55 = 83,879.84/x
  3. Step 3: Cross multiply
    172,896.41x = 258,999.55 × 83,879.84
  4. Step 4: Simplify right side
    172,896.41x = 21,724,840,595.17
  5. Step 5: Solve for x
    x = 21,724,840,595.17/172,896.41
  6. Step 6: Final answer
    x = 125,652.35

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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.