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Finding the Fourth Proportional to 172,765.32, 259,055.64 and 54,404.88

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Solution

The fourth proportional to 172,765.32, 259,055.64 and 54,404.88 is: 81,578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,765.32 : 259,055.64 = 54,404.88 : x
  2. Step 2: Convert to fraction form
    172,765.32/259,055.64 = 54,404.88/x
  3. Step 3: Cross multiply
    172,765.32x = 259,055.64 × 54,404.88
  4. Step 4: Simplify right side
    172,765.32x = 14,093,891,007.52
  5. Step 5: Solve for x
    x = 14,093,891,007.52/172,765.32
  6. Step 6: Final answer
    x = 81,578.24

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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.