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Finding the Fourth Proportional to 276,816.60, 415,225.17 and 77,137.56

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Solution

The fourth proportional to 276,816.60, 415,225.17 and 77,137.56 is: 115,706.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,816.60 : 415,225.17 = 77,137.56 : x
  2. Step 2: Convert to fraction form
    276,816.60/415,225.17 = 77,137.56/x
  3. Step 3: Cross multiply
    276,816.60x = 415,225.17 × 77,137.56
  4. Step 4: Simplify right side
    276,816.60x = 32,029,456,464.39
  5. Step 5: Solve for x
    x = 32,029,456,464.39/276,816.60
  6. Step 6: Final answer
    x = 115,706.42

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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.