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Finding the Fourth Proportional to 172,385.91, 258,578.87 and 54,066.51

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Solution

The fourth proportional to 172,385.91, 258,578.87 and 54,066.51 is: 81,099.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,385.91 : 258,578.87 = 54,066.51 : x
  2. Step 2: Convert to fraction form
    172,385.91/258,578.87 = 54,066.51/x
  3. Step 3: Cross multiply
    172,385.91x = 258,578.87 × 54,066.51
  4. Step 4: Simplify right side
    172,385.91x = 13,980,456,790.31
  5. Step 5: Solve for x
    x = 13,980,456,790.31/172,385.91
  6. Step 6: Final answer
    x = 81,099.77

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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.