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Finding the Fourth Proportional to 172,286.61, 258,434.78 and 47,627.61

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Solution

The fourth proportional to 172,286.61, 258,434.78 and 47,627.61 is: 71,442.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,286.61 : 258,434.78 = 47,627.61 : x
  2. Step 2: Convert to fraction form
    172,286.61/258,434.78 = 47,627.61/x
  3. Step 3: Cross multiply
    172,286.61x = 258,434.78 × 47,627.61
  4. Step 4: Simplify right side
    172,286.61x = 12,308,630,674.14
  5. Step 5: Solve for x
    x = 12,308,630,674.14/172,286.61
  6. Step 6: Final answer
    x = 71,442.76

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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.