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Finding the Fourth Proportional to 116,829.68, 161,228.28 and 65,147.96

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Solution

The fourth proportional to 116,829.68, 161,228.28 and 65,147.96 is: 89,906.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,829.68 : 161,228.28 = 65,147.96 : x
  2. Step 2: Convert to fraction form
    116,829.68/161,228.28 = 65,147.96/x
  3. Step 3: Cross multiply
    116,829.68x = 161,228.28 × 65,147.96
  4. Step 4: Simplify right side
    116,829.68x = 10,503,692,730.17
  5. Step 5: Solve for x
    x = 10,503,692,730.17/116,829.68
  6. Step 6: Final answer
    x = 89,906.03

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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.