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Finding the Fourth Proportional to 116,499, 160,768.68 and 66,198

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Solution

The fourth proportional to 116,499, 160,768.68 and 66,198 is: 91,353.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,499 : 160,768.68 = 66,198 : x
  2. Step 2: Convert to fraction form
    116,499/160,768.68 = 66,198/x
  3. Step 3: Cross multiply
    116,499x = 160,768.68 × 66,198
  4. Step 4: Simplify right side
    116,499x = 10,642,565,078.64
  5. Step 5: Solve for x
    x = 10,642,565,078.64/116,499
  6. Step 6: Final answer
    x = 91,353.27

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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.