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Finding the Fourth Proportional to 172,800, 259,214.85 and 48,141

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Solution

The fourth proportional to 172,800, 259,214.85 and 48,141 is: 72,215.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,800 : 259,214.85 = 48,141 : x
  2. Step 2: Convert to fraction form
    172,800/259,214.85 = 48,141/x
  3. Step 3: Cross multiply
    172,800x = 259,214.85 × 48,141
  4. Step 4: Simplify right side
    172,800x = 12,478,862,093.85
  5. Step 5: Solve for x
    x = 12,478,862,093.85/172,800
  6. Step 6: Final answer
    x = 72,215.64

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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.