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Finding the Fourth Proportional to 172,874.86, 238,478.37 and 115,495.84

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Solution

The fourth proportional to 172,874.86, 238,478.37 and 115,495.84 is: 159,324.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,874.86 : 238,478.37 = 115,495.84 : x
  2. Step 2: Convert to fraction form
    172,874.86/238,478.37 = 115,495.84/x
  3. Step 3: Cross multiply
    172,874.86x = 238,478.37 × 115,495.84
  4. Step 4: Simplify right side
    172,874.86x = 27,543,259,664.98
  5. Step 5: Solve for x
    x = 27,543,259,664.98/172,874.86
  6. Step 6: Final answer
    x = 159,324.84

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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.