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Finding the Fourth Proportional to 149,075.52, 205,718.28 and 81,092.58

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Solution

The fourth proportional to 149,075.52, 205,718.28 and 81,092.58 is: 111,904.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,075.52 : 205,718.28 = 81,092.58 : x
  2. Step 2: Convert to fraction form
    149,075.52/205,718.28 = 81,092.58/x
  3. Step 3: Cross multiply
    149,075.52x = 205,718.28 × 81,092.58
  4. Step 4: Simplify right side
    149,075.52x = 16,682,226,078.36
  5. Step 5: Solve for x
    x = 16,682,226,078.36/149,075.52
  6. Step 6: Final answer
    x = 111,904.53

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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.