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Finding the Fourth Proportional to 84,827.60, 127,255.80 and 25,662.80

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Solution

The fourth proportional to 84,827.60, 127,255.80 and 25,662.80 is: 38,498.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,827.60 : 127,255.80 = 25,662.80 : x
  2. Step 2: Convert to fraction form
    84,827.60/127,255.80 = 25,662.80/x
  3. Step 3: Cross multiply
    84,827.60x = 127,255.80 × 25,662.80
  4. Step 4: Simplify right side
    84,827.60x = 3,265,740,144.24
  5. Step 5: Solve for x
    x = 3,265,740,144.24/84,827.60
  6. Step 6: Final answer
    x = 38,498.56

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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.