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Finding the Fourth Proportional to 77,672.90, 107,074.50 and 54,941.87

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Solution

The fourth proportional to 77,672.90, 107,074.50 and 54,941.87 is: 75,739.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,672.90 : 107,074.50 = 54,941.87 : x
  2. Step 2: Convert to fraction form
    77,672.90/107,074.50 = 54,941.87/x
  3. Step 3: Cross multiply
    77,672.90x = 107,074.50 × 54,941.87
  4. Step 4: Simplify right side
    77,672.90x = 5,882,873,259.32
  5. Step 5: Solve for x
    x = 5,882,873,259.32/77,672.90
  6. Step 6: Final answer
    x = 75,739.07

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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.