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Finding the Fourth Proportional to 106,645.82, 147,188.34 and 81,110.97

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Solution

The fourth proportional to 106,645.82, 147,188.34 and 81,110.97 is: 111,946.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,645.82 : 147,188.34 = 81,110.97 : x
  2. Step 2: Convert to fraction form
    106,645.82/147,188.34 = 81,110.97/x
  3. Step 3: Cross multiply
    106,645.82x = 147,188.34 × 81,110.97
  4. Step 4: Simplify right side
    106,645.82x = 11,938,589,030.09
  5. Step 5: Solve for x
    x = 11,938,589,030.09/106,645.82
  6. Step 6: Final answer
    x = 111,946.16

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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.