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Finding the Fourth Proportional to 172,766.32, 259,057.14 and 54,405.88

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Solution

The fourth proportional to 172,766.32, 259,057.14 and 54,405.88 is: 81,579.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,766.32 : 259,057.14 = 54,405.88 : x
  2. Step 2: Convert to fraction form
    172,766.32/259,057.14 = 54,405.88/x
  3. Step 3: Cross multiply
    172,766.32x = 259,057.14 × 54,405.88
  4. Step 4: Simplify right side
    172,766.32x = 14,094,231,671.98
  5. Step 5: Solve for x
    x = 14,094,231,671.98/172,766.32
  6. Step 6: Final answer
    x = 81,579.74

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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.