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Finding the Fourth Proportional to 172,286.11, 258,434.03 and 47,627.11

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Solution

The fourth proportional to 172,286.11, 258,434.03 and 47,627.11 is: 71,442.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,286.11 : 258,434.03 = 47,627.11 : x
  2. Step 2: Convert to fraction form
    172,286.11/258,434.03 = 47,627.11/x
  3. Step 3: Cross multiply
    172,286.11x = 258,434.03 × 47,627.11
  4. Step 4: Simplify right side
    172,286.11x = 12,308,465,974.55
  5. Step 5: Solve for x
    x = 12,308,465,974.55/172,286.11
  6. Step 6: Final answer
    x = 71,442.01

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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.