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Finding the Fourth Proportional to 172,893.36, 259,340.04 and 54,647.74

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Solution

The fourth proportional to 172,893.36, 259,340.04 and 54,647.74 is: 81,971.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,893.36 : 259,340.04 = 54,647.74 : x
  2. Step 2: Convert to fraction form
    172,893.36/259,340.04 = 54,647.74/x
  3. Step 3: Cross multiply
    172,893.36x = 259,340.04 × 54,647.74
  4. Step 4: Simplify right side
    172,893.36x = 14,172,347,077.51
  5. Step 5: Solve for x
    x = 14,172,347,077.51/172,893.36
  6. Step 6: Final answer
    x = 81,971.61

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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.