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Finding the Fourth Proportional to 260,960.16, 391,488.24 and 111,200.16

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Solution

The fourth proportional to 260,960.16, 391,488.24 and 111,200.16 is: 166,820.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,960.16 : 391,488.24 = 111,200.16 : x
  2. Step 2: Convert to fraction form
    260,960.16/391,488.24 = 111,200.16/x
  3. Step 3: Cross multiply
    260,960.16x = 391,488.24 × 111,200.16
  4. Step 4: Simplify right side
    260,960.16x = 43,533,554,926.12
  5. Step 5: Solve for x
    x = 43,533,554,926.12/260,960.16
  6. Step 6: Final answer
    x = 166,820.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.