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Finding the Fourth Proportional to 172,769.32, 259,061.64 and 54,408.88

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Solution

The fourth proportional to 172,769.32, 259,061.64 and 54,408.88 is: 81,584.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,769.32 : 259,061.64 = 54,408.88 : x
  2. Step 2: Convert to fraction form
    172,769.32/259,061.64 = 54,408.88/x
  3. Step 3: Cross multiply
    172,769.32x = 259,061.64 × 54,408.88
  4. Step 4: Simplify right side
    172,769.32x = 14,095,253,683.36
  5. Step 5: Solve for x
    x = 14,095,253,683.36/172,769.32
  6. Step 6: Final answer
    x = 81,584.24

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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.