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Finding the Fourth Proportional to 149,080.50, 205,731.09 and 82,012.50

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Solution

The fourth proportional to 149,080.50, 205,731.09 and 82,012.50 is: 113,177.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,080.50 : 205,731.09 = 82,012.50 : x
  2. Step 2: Convert to fraction form
    149,080.50/205,731.09 = 82,012.50/x
  3. Step 3: Cross multiply
    149,080.50x = 205,731.09 × 82,012.50
  4. Step 4: Simplify right side
    149,080.50x = 16,872,521,018.63
  5. Step 5: Solve for x
    x = 16,872,521,018.63/149,080.50
  6. Step 6: Final answer
    x = 113,177.25

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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.