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Finding the Fourth Proportional to 120,046.86, 165,662.82 and 66,330.90

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Solution

The fourth proportional to 120,046.86, 165,662.82 and 66,330.90 is: 91,535.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,046.86 : 165,662.82 = 66,330.90 : x
  2. Step 2: Convert to fraction form
    120,046.86/165,662.82 = 66,330.90/x
  3. Step 3: Cross multiply
    120,046.86x = 165,662.82 × 66,330.90
  4. Step 4: Simplify right side
    120,046.86x = 10,988,563,947.14
  5. Step 5: Solve for x
    x = 10,988,563,947.14/120,046.86
  6. Step 6: Final answer
    x = 91,535.62

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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.