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Finding the Fourth Proportional to 149,203.88, 205,894.92 and 81,220.96

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Solution

The fourth proportional to 149,203.88, 205,894.92 and 81,220.96 is: 112,081.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,203.88 : 205,894.92 = 81,220.96 : x
  2. Step 2: Convert to fraction form
    149,203.88/205,894.92 = 81,220.96/x
  3. Step 3: Cross multiply
    149,203.88x = 205,894.92 × 81,220.96
  4. Step 4: Simplify right side
    149,203.88x = 16,722,983,061.52
  5. Step 5: Solve for x
    x = 16,722,983,061.52/149,203.88
  6. Step 6: Final answer
    x = 112,081.42

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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.