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Finding the Fourth Proportional to 172,439.56, 258,583.94 and 86,997.86

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Solution

The fourth proportional to 172,439.56, 258,583.94 and 86,997.86 is: 130,458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,439.56 : 258,583.94 = 86,997.86 : x
  2. Step 2: Convert to fraction form
    172,439.56/258,583.94 = 86,997.86/x
  3. Step 3: Cross multiply
    172,439.56x = 258,583.94 × 86,997.86
  4. Step 4: Simplify right side
    172,439.56x = 22,496,249,410.37
  5. Step 5: Solve for x
    x = 22,496,249,410.37/172,439.56
  6. Step 6: Final answer
    x = 130,458.75

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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.