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Finding the Fourth Proportional to 172,138.77, 258,237.32 and 53,786.84

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Solution

The fourth proportional to 172,138.77, 258,237.32 and 53,786.84 is: 80,689.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,138.77 : 258,237.32 = 53,786.84 : x
  2. Step 2: Convert to fraction form
    172,138.77/258,237.32 = 53,786.84/x
  3. Step 3: Cross multiply
    172,138.77x = 258,237.32 × 53,786.84
  4. Step 4: Simplify right side
    172,138.77x = 13,889,767,852.75
  5. Step 5: Solve for x
    x = 13,889,767,852.75/172,138.77
  6. Step 6: Final answer
    x = 80,689.36

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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.