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Finding the Fourth Proportional to 172,065.76, 258,196.80 and 66,871.04

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Solution

The fourth proportional to 172,065.76, 258,196.80 and 66,871.04 is: 100,344.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,065.76 : 258,196.80 = 66,871.04 : x
  2. Step 2: Convert to fraction form
    172,065.76/258,196.80 = 66,871.04/x
  3. Step 3: Cross multiply
    172,065.76x = 258,196.80 × 66,871.04
  4. Step 4: Simplify right side
    172,065.76x = 17,265,888,540.67
  5. Step 5: Solve for x
    x = 17,265,888,540.67/172,065.76
  6. Step 6: Final answer
    x = 100,344.71

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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.