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Finding the Fourth Proportional to 171,649.89, 257,431.75 and 81,637.06

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Solution

The fourth proportional to 171,649.89, 257,431.75 and 81,637.06 is: 122,435.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,649.89 : 257,431.75 = 81,637.06 : x
  2. Step 2: Convert to fraction form
    171,649.89/257,431.75 = 81,637.06/x
  3. Step 3: Cross multiply
    171,649.89x = 257,431.75 × 81,637.06
  4. Step 4: Simplify right side
    171,649.89x = 21,015,971,220.66
  5. Step 5: Solve for x
    x = 21,015,971,220.66/171,649.89
  6. Step 6: Final answer
    x = 122,435.10

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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.