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Finding the Fourth Proportional to 172,601.76, 258,816.06 and 100,578

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Solution

The fourth proportional to 172,601.76, 258,816.06 and 100,578 is: 150,816.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,601.76 : 258,816.06 = 100,578 : x
  2. Step 2: Convert to fraction form
    172,601.76/258,816.06 = 100,578/x
  3. Step 3: Cross multiply
    172,601.76x = 258,816.06 × 100,578
  4. Step 4: Simplify right side
    172,601.76x = 26,031,201,682.68
  5. Step 5: Solve for x
    x = 26,031,201,682.68/172,601.76
  6. Step 6: Final answer
    x = 150,816.55

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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.