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Finding the Fourth Proportional to 108,556.86, 149,742.14 and 71,763.06

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Solution

The fourth proportional to 108,556.86, 149,742.14 and 71,763.06 is: 98,989.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,556.86 : 149,742.14 = 71,763.06 : x
  2. Step 2: Convert to fraction form
    108,556.86/149,742.14 = 71,763.06/x
  3. Step 3: Cross multiply
    108,556.86x = 149,742.14 × 71,763.06
  4. Step 4: Simplify right side
    108,556.86x = 10,745,954,177.35
  5. Step 5: Solve for x
    x = 10,745,954,177.35/108,556.86
  6. Step 6: Final answer
    x = 98,989.18

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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.