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Finding the Fourth Proportional to 172,824.78, 259,339.20 and 72,978.48

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Solution

The fourth proportional to 172,824.78, 259,339.20 and 72,978.48 is: 109,510.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,824.78 : 259,339.20 = 72,978.48 : x
  2. Step 2: Convert to fraction form
    172,824.78/259,339.20 = 72,978.48/x
  3. Step 3: Cross multiply
    172,824.78x = 259,339.20 × 72,978.48
  4. Step 4: Simplify right side
    172,824.78x = 18,926,180,620.42
  5. Step 5: Solve for x
    x = 18,926,180,620.42/172,824.78
  6. Step 6: Final answer
    x = 109,510.80

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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.