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Finding the Fourth Proportional to 77,140.80, 106,452.64 and 41,812.80

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Solution

The fourth proportional to 77,140.80, 106,452.64 and 41,812.80 is: 57,700.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,140.80 : 106,452.64 = 41,812.80 : x
  2. Step 2: Convert to fraction form
    77,140.80/106,452.64 = 41,812.80/x
  3. Step 3: Cross multiply
    77,140.80x = 106,452.64 × 41,812.80
  4. Step 4: Simplify right side
    77,140.80x = 4,451,082,945.79
  5. Step 5: Solve for x
    x = 4,451,082,945.79/77,140.80
  6. Step 6: Final answer
    x = 57,700.76

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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.