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Finding the Fourth Proportional to 276,872.94, 415,332.83 and 77,193.50

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Solution

The fourth proportional to 276,872.94, 415,332.83 and 77,193.50 is: 115,796.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,872.94 : 415,332.83 = 77,193.50 : x
  2. Step 2: Convert to fraction form
    276,872.94/415,332.83 = 77,193.50/x
  3. Step 3: Cross multiply
    276,872.94x = 415,332.83 × 77,193.50
  4. Step 4: Simplify right side
    276,872.94x = 32,060,992,349.97
  5. Step 5: Solve for x
    x = 32,060,992,349.97/276,872.94
  6. Step 6: Final answer
    x = 115,796.77

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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.