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Finding the Fourth Proportional to 148,761.24, 205,290.36 and 81,693.24

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Solution

The fourth proportional to 148,761.24, 205,290.36 and 81,693.24 is: 112,736.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,761.24 : 205,290.36 = 81,693.24 : x
  2. Step 2: Convert to fraction form
    148,761.24/205,290.36 = 81,693.24/x
  3. Step 3: Cross multiply
    148,761.24x = 205,290.36 × 81,693.24
  4. Step 4: Simplify right side
    148,761.24x = 16,770,834,649.17
  5. Step 5: Solve for x
    x = 16,770,834,649.17/148,761.24
  6. Step 6: Final answer
    x = 112,736.59

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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.