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Finding the Fourth Proportional to 172,814, 259,323.06 and 72,967.73

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Solution

The fourth proportional to 172,814, 259,323.06 and 72,967.73 is: 109,494.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,814 : 259,323.06 = 72,967.73 : x
  2. Step 2: Convert to fraction form
    172,814/259,323.06 = 72,967.73/x
  3. Step 3: Cross multiply
    172,814x = 259,323.06 × 72,967.73
  4. Step 4: Simplify right side
    172,814x = 18,922,215,024.85
  5. Step 5: Solve for x
    x = 18,922,215,024.85/172,814
  6. Step 6: Final answer
    x = 109,494.69

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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.