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Finding the Fourth Proportional to 80,156.82, 120,255.72 and 46,904.82

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Solution

The fourth proportional to 80,156.82, 120,255.72 and 46,904.82 is: 70,369.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,156.82 : 120,255.72 = 46,904.82 : x
  2. Step 2: Convert to fraction form
    80,156.82/120,255.72 = 46,904.82/x
  3. Step 3: Cross multiply
    80,156.82x = 120,255.72 × 46,904.82
  4. Step 4: Simplify right side
    80,156.82x = 5,640,572,900.57
  5. Step 5: Solve for x
    x = 5,640,572,900.57/80,156.82
  6. Step 6: Final answer
    x = 70,369.22

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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.