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Finding the Fourth Proportional to 148,996.54, 205,612.95 and 81,012.97

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Solution

The fourth proportional to 148,996.54, 205,612.95 and 81,012.97 is: 111,796.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,996.54 : 205,612.95 = 81,012.97 : x
  2. Step 2: Convert to fraction form
    148,996.54/205,612.95 = 81,012.97/x
  3. Step 3: Cross multiply
    148,996.54x = 205,612.95 × 81,012.97
  4. Step 4: Simplify right side
    148,996.54x = 16,657,315,749.96
  5. Step 5: Solve for x
    x = 16,657,315,749.96/148,996.54
  6. Step 6: Final answer
    x = 111,796.66

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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.