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Finding the Fourth Proportional to 149,080.51, 205,727.41 and 85,414.21

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Solution

The fourth proportional to 149,080.51, 205,727.41 and 85,414.21 is: 117,869.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,080.51 : 205,727.41 = 85,414.21 : x
  2. Step 2: Convert to fraction form
    149,080.51/205,727.41 = 85,414.21/x
  3. Step 3: Cross multiply
    149,080.51x = 205,727.41 × 85,414.21
  4. Step 4: Simplify right side
    149,080.51x = 17,572,044,200.50
  5. Step 5: Solve for x
    x = 17,572,044,200.50/149,080.51
  6. Step 6: Final answer
    x = 117,869.49

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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.