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Finding the Fourth Proportional to 165,963.60, 248,945.40 and 47,638.80

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Solution

The fourth proportional to 165,963.60, 248,945.40 and 47,638.80 is: 71,458.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,963.60 : 248,945.40 = 47,638.80 : x
  2. Step 2: Convert to fraction form
    165,963.60/248,945.40 = 47,638.80/x
  3. Step 3: Cross multiply
    165,963.60x = 248,945.40 × 47,638.80
  4. Step 4: Simplify right side
    165,963.60x = 11,859,460,121.52
  5. Step 5: Solve for x
    x = 11,859,460,121.52/165,963.60
  6. Step 6: Final answer
    x = 71,458.20

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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.