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Finding the Fourth Proportional to 172,706.21, 259,094.23 and 72,866.64

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Solution

The fourth proportional to 172,706.21, 259,094.23 and 72,866.64 is: 109,314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,706.21 : 259,094.23 = 72,866.64 : x
  2. Step 2: Convert to fraction form
    172,706.21/259,094.23 = 72,866.64/x
  3. Step 3: Cross multiply
    172,706.21x = 259,094.23 × 72,866.64
  4. Step 4: Simplify right side
    172,706.21x = 18,879,325,801.32
  5. Step 5: Solve for x
    x = 18,879,325,801.32/172,706.21
  6. Step 6: Final answer
    x = 109,314.69

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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.