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Finding the Fourth Proportional to 172,801.50, 259,217.10 and 48,142.50

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Solution

The fourth proportional to 172,801.50, 259,217.10 and 48,142.50 is: 72,217.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,801.50 : 259,217.10 = 48,142.50 : x
  2. Step 2: Convert to fraction form
    172,801.50/259,217.10 = 48,142.50/x
  3. Step 3: Cross multiply
    172,801.50x = 259,217.10 × 48,142.50
  4. Step 4: Simplify right side
    172,801.50x = 12,479,359,236.75
  5. Step 5: Solve for x
    x = 12,479,359,236.75/172,801.50
  6. Step 6: Final answer
    x = 72,217.89

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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.