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Finding the Fourth Proportional to 120,092.99, 165,725.44 and 65,642.72

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Solution

The fourth proportional to 120,092.99, 165,725.44 and 65,642.72 is: 90,585.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,092.99 : 165,725.44 = 65,642.72 : x
  2. Step 2: Convert to fraction form
    120,092.99/165,725.44 = 65,642.72/x
  3. Step 3: Cross multiply
    120,092.99x = 165,725.44 × 65,642.72
  4. Step 4: Simplify right side
    120,092.99x = 10,878,668,654.80
  5. Step 5: Solve for x
    x = 10,878,668,654.80/120,092.99
  6. Step 6: Final answer
    x = 90,585.38

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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.