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Finding the Fourth Proportional to 165,481.88, 248,225.36 and 47,156

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Solution

The fourth proportional to 165,481.88, 248,225.36 and 47,156 is: 70,734.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,481.88 : 248,225.36 = 47,156 : x
  2. Step 2: Convert to fraction form
    165,481.88/248,225.36 = 47,156/x
  3. Step 3: Cross multiply
    165,481.88x = 248,225.36 × 47,156
  4. Step 4: Simplify right side
    165,481.88x = 11,705,315,076.16
  5. Step 5: Solve for x
    x = 11,705,315,076.16/165,481.88
  6. Step 6: Final answer
    x = 70,734.72

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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.