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Finding the Fourth Proportional to 120,160.80, 165,815.25 and 66,442.62

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Solution

The fourth proportional to 120,160.80, 165,815.25 and 66,442.62 is: 91,687.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,160.80 : 165,815.25 = 66,442.62 : x
  2. Step 2: Convert to fraction form
    120,160.80/165,815.25 = 66,442.62/x
  3. Step 3: Cross multiply
    120,160.80x = 165,815.25 × 66,442.62
  4. Step 4: Simplify right side
    120,160.80x = 11,017,199,645.96
  5. Step 5: Solve for x
    x = 11,017,199,645.96/120,160.80
  6. Step 6: Final answer
    x = 91,687.14

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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.