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Finding the Fourth Proportional to 172,648.56, 238,197.96 and 100,977.84

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Solution

The fourth proportional to 172,648.56, 238,197.96 and 100,977.84 is: 139,316.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,648.56 : 238,197.96 = 100,977.84 : x
  2. Step 2: Convert to fraction form
    172,648.56/238,197.96 = 100,977.84/x
  3. Step 3: Cross multiply
    172,648.56x = 238,197.96 × 100,977.84
  4. Step 4: Simplify right side
    172,648.56x = 24,052,715,493.21
  5. Step 5: Solve for x
    x = 24,052,715,493.21/172,648.56
  6. Step 6: Final answer
    x = 139,316.05

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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.