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Finding the Fourth Proportional to 116,775, 161,149.68 and 66,474

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Solution

The fourth proportional to 116,775, 161,149.68 and 66,474 is: 91,734.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,775 : 161,149.68 = 66,474 : x
  2. Step 2: Convert to fraction form
    116,775/161,149.68 = 66,474/x
  3. Step 3: Cross multiply
    116,775x = 161,149.68 × 66,474
  4. Step 4: Simplify right side
    116,775x = 10,712,263,828.32
  5. Step 5: Solve for x
    x = 10,712,263,828.32/116,775
  6. Step 6: Final answer
    x = 91,734.22

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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.