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Finding the Fourth Proportional to 172,467.90, 238,034.16 and 100,834.20

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Solution

The fourth proportional to 172,467.90, 238,034.16 and 100,834.20 is: 139,167.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,467.90 : 238,034.16 = 100,834.20 : x
  2. Step 2: Convert to fraction form
    172,467.90/238,034.16 = 100,834.20/x
  3. Step 3: Cross multiply
    172,467.90x = 238,034.16 × 100,834.20
  4. Step 4: Simplify right side
    172,467.90x = 24,001,984,096.27
  5. Step 5: Solve for x
    x = 24,001,984,096.27/172,467.90
  6. Step 6: Final answer
    x = 139,167.83

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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.