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Finding the Fourth Proportional to 276,925.76, 415,351.73 and 77,229.42

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Solution

The fourth proportional to 276,925.76, 415,351.73 and 77,229.42 is: 115,833.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,925.76 : 415,351.73 = 77,229.42 : x
  2. Step 2: Convert to fraction form
    276,925.76/415,351.73 = 77,229.42/x
  3. Step 3: Cross multiply
    276,925.76x = 415,351.73 × 77,229.42
  4. Step 4: Simplify right side
    276,925.76x = 32,077,372,817.75
  5. Step 5: Solve for x
    x = 32,077,372,817.75/276,925.76
  6. Step 6: Final answer
    x = 115,833.84

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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.