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Finding the Fourth Proportional to 172,736.91, 259,056.15 and 109,461.54

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Solution

The fourth proportional to 172,736.91, 259,056.15 and 109,461.54 is: 164,161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,736.91 : 259,056.15 = 109,461.54 : x
  2. Step 2: Convert to fraction form
    172,736.91/259,056.15 = 109,461.54/x
  3. Step 3: Cross multiply
    172,736.91x = 259,056.15 × 109,461.54
  4. Step 4: Simplify right side
    172,736.91x = 28,356,685,125.47
  5. Step 5: Solve for x
    x = 28,356,685,125.47/172,736.91
  6. Step 6: Final answer
    x = 164,161.12

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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.