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Finding the Fourth Proportional to 149,033.25, 205,666.29 and 81,965.25

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Solution

The fourth proportional to 149,033.25, 205,666.29 and 81,965.25 is: 113,112.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,033.25 : 205,666.29 = 81,965.25 : x
  2. Step 2: Convert to fraction form
    149,033.25/205,666.29 = 81,965.25/x
  3. Step 3: Cross multiply
    149,033.25x = 205,666.29 × 81,965.25
  4. Step 4: Simplify right side
    149,033.25x = 16,857,488,876.42
  5. Step 5: Solve for x
    x = 16,857,488,876.42/149,033.25
  6. Step 6: Final answer
    x = 113,112.27

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1.5x scale

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.