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Finding the Fourth Proportional to 149,025.51, 205,655.09 and 81,957.51

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Solution

The fourth proportional to 149,025.51, 205,655.09 and 81,957.51 is: 113,101.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,025.51 : 205,655.09 = 81,957.51 : x
  2. Step 2: Convert to fraction form
    149,025.51/205,655.09 = 81,957.51/x
  3. Step 3: Cross multiply
    149,025.51x = 205,655.09 × 81,957.51
  4. Step 4: Simplify right side
    149,025.51x = 16,854,978,685.44
  5. Step 5: Solve for x
    x = 16,854,978,685.44/149,025.51
  6. Step 6: Final answer
    x = 113,101.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.