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Finding the Fourth Proportional to 149,197.90, 205,895.72 and 81,216.82

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Solution

The fourth proportional to 149,197.90, 205,895.72 and 81,216.82 is: 112,080.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,197.90 : 205,895.72 = 81,216.82 : x
  2. Step 2: Convert to fraction form
    149,197.90/205,895.72 = 81,216.82/x
  3. Step 3: Cross multiply
    149,197.90x = 205,895.72 × 81,216.82
  4. Step 4: Simplify right side
    149,197.90x = 16,722,195,630.01
  5. Step 5: Solve for x
    x = 16,722,195,630.01/149,197.90
  6. Step 6: Final answer
    x = 112,080.64

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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.