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Finding the Fourth Proportional to 149,082.74, 205,737.94 and 81,103.54

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Solution

The fourth proportional to 149,082.74, 205,737.94 and 81,103.54 is: 111,924.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,082.74 : 205,737.94 = 81,103.54 : x
  2. Step 2: Convert to fraction form
    149,082.74/205,737.94 = 81,103.54/x
  3. Step 3: Cross multiply
    149,082.74x = 205,737.94 × 81,103.54
  4. Step 4: Simplify right side
    149,082.74x = 16,686,075,246.31
  5. Step 5: Solve for x
    x = 16,686,075,246.31/149,082.74
  6. Step 6: Final answer
    x = 111,924.93

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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.