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Finding the Fourth Proportional to 165,738, 248,645.88 and 54,930

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Solution

The fourth proportional to 165,738, 248,645.88 and 54,930 is: 82,407.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,738 : 248,645.88 = 54,930 : x
  2. Step 2: Convert to fraction form
    165,738/248,645.88 = 54,930/x
  3. Step 3: Cross multiply
    165,738x = 248,645.88 × 54,930
  4. Step 4: Simplify right side
    165,738x = 13,658,118,188.40
  5. Step 5: Solve for x
    x = 13,658,118,188.40/165,738
  6. Step 6: Final answer
    x = 82,407.89

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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.