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Finding the Fourth Proportional to 149,080.74, 205,735.17 and 81,101.53

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Solution

The fourth proportional to 149,080.74, 205,735.17 and 81,101.53 is: 111,922.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,080.74 : 205,735.17 = 81,101.53 : x
  2. Step 2: Convert to fraction form
    149,080.74/205,735.17 = 81,101.53/x
  3. Step 3: Cross multiply
    149,080.74x = 205,735.17 × 81,101.53
  4. Step 4: Simplify right side
    149,080.74x = 16,685,437,061.81
  5. Step 5: Solve for x
    x = 16,685,437,061.81/149,080.74
  6. Step 6: Final answer
    x = 111,922.15

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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.