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Finding the Fourth Proportional to 171,648.89, 257,430.26 and 81,636.06

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Solution

The fourth proportional to 171,648.89, 257,430.26 and 81,636.06 is: 122,433.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,648.89 : 257,430.26 = 81,636.06 : x
  2. Step 2: Convert to fraction form
    171,648.89/257,430.26 = 81,636.06/x
  3. Step 3: Cross multiply
    171,648.89x = 257,430.26 × 81,636.06
  4. Step 4: Simplify right side
    171,648.89x = 21,015,591,743.00
  5. Step 5: Solve for x
    x = 21,015,591,743.00/171,648.89
  6. Step 6: Final answer
    x = 122,433.60

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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.