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Finding the Fourth Proportional to 120,078.93, 165,694.56 and 66,356.65

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Solution

The fourth proportional to 120,078.93, 165,694.56 and 66,356.65 is: 91,564.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,078.93 : 165,694.56 = 66,356.65 : x
  2. Step 2: Convert to fraction form
    120,078.93/165,694.56 = 66,356.65/x
  3. Step 3: Cross multiply
    120,078.93x = 165,694.56 × 66,356.65
  4. Step 4: Simplify right side
    120,078.93x = 10,994,935,096.35
  5. Step 5: Solve for x
    x = 10,994,935,096.35/120,078.93
  6. Step 6: Final answer
    x = 91,564.23

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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.