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Finding the Fourth Proportional to 172,568.80, 238,098.45 and 100,966.42

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Solution

The fourth proportional to 172,568.80, 238,098.45 and 100,966.42 is: 139,306.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,568.80 : 238,098.45 = 100,966.42 : x
  2. Step 2: Convert to fraction form
    172,568.80/238,098.45 = 100,966.42/x
  3. Step 3: Cross multiply
    172,568.80x = 238,098.45 × 100,966.42
  4. Step 4: Simplify right side
    172,568.80x = 24,039,948,104.05
  5. Step 5: Solve for x
    x = 24,039,948,104.05/172,568.80
  6. Step 6: Final answer
    x = 139,306.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.