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Finding the Fourth Proportional to 291,106, 436,658.92 and 80,743.96

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Solution

The fourth proportional to 291,106, 436,658.92 and 80,743.96 is: 121,115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,106 : 436,658.92 = 80,743.96 : x
  2. Step 2: Convert to fraction form
    291,106/436,658.92 = 80,743.96/x
  3. Step 3: Cross multiply
    291,106x = 436,658.92 × 80,743.96
  4. Step 4: Simplify right side
    291,106x = 35,257,570,370.12
  5. Step 5: Solve for x
    x = 35,257,570,370.12/291,106
  6. Step 6: Final answer
    x = 121,115.92

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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.