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Finding the Fourth Proportional to 77,651.80, 107,030.42 and 54,961.68

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Solution

The fourth proportional to 77,651.80, 107,030.42 and 54,961.68 is: 75,755.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,651.80 : 107,030.42 = 54,961.68 : x
  2. Step 2: Convert to fraction form
    77,651.80/107,030.42 = 54,961.68/x
  3. Step 3: Cross multiply
    77,651.80x = 107,030.42 × 54,961.68
  4. Step 4: Simplify right side
    77,651.80x = 5,882,571,694.31
  5. Step 5: Solve for x
    x = 5,882,571,694.31/77,651.80
  6. Step 6: Final answer
    x = 75,755.77

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1.5x scale

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.