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Finding the Fourth Proportional to 172,708.21, 259,097.23 and 72,868.64

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Solution

The fourth proportional to 172,708.21, 259,097.23 and 72,868.64 is: 109,317.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,708.21 : 259,097.23 = 72,868.64 : x
  2. Step 2: Convert to fraction form
    172,708.21/259,097.23 = 72,868.64/x
  3. Step 3: Cross multiply
    172,708.21x = 259,097.23 × 72,868.64
  4. Step 4: Simplify right side
    172,708.21x = 18,880,062,777.87
  5. Step 5: Solve for x
    x = 18,880,062,777.87/172,708.21
  6. Step 6: Final answer
    x = 109,317.69

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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.