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Finding the Fourth Proportional to 149,014.89, 205,642.98 and 81,033.21

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Solution

The fourth proportional to 149,014.89, 205,642.98 and 81,033.21 is: 111,827.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,014.89 : 205,642.98 = 81,033.21 : x
  2. Step 2: Convert to fraction form
    149,014.89/205,642.98 = 81,033.21/x
  3. Step 3: Cross multiply
    149,014.89x = 205,642.98 × 81,033.21
  4. Step 4: Simplify right side
    149,014.89x = 16,663,910,783.37
  5. Step 5: Solve for x
    x = 16,663,910,783.37/149,014.89
  6. Step 6: Final answer
    x = 111,827.15

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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.