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Finding the Fourth Proportional to 149,245.84, 205,954.14 and 81,261.72

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Solution

The fourth proportional to 149,245.84, 205,954.14 and 81,261.72 is: 112,138.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,245.84 : 205,954.14 = 81,261.72 : x
  2. Step 2: Convert to fraction form
    149,245.84/205,954.14 = 81,261.72/x
  3. Step 3: Cross multiply
    149,245.84x = 205,954.14 × 81,261.72
  4. Step 4: Simplify right side
    149,245.84x = 16,736,187,657.52
  5. Step 5: Solve for x
    x = 16,736,187,657.52/149,245.84
  6. Step 6: Final answer
    x = 112,138.39

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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.