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Finding the Fourth Proportional to 276,814.06, 415,221.36 and 77,139.78

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Solution

The fourth proportional to 276,814.06, 415,221.36 and 77,139.78 is: 115,709.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,814.06 : 415,221.36 = 77,139.78 : x
  2. Step 2: Convert to fraction form
    276,814.06/415,221.36 = 77,139.78/x
  3. Step 3: Cross multiply
    276,814.06x = 415,221.36 × 77,139.78
  4. Step 4: Simplify right side
    276,814.06x = 32,030,082,515.35
  5. Step 5: Solve for x
    x = 32,030,082,515.35/276,814.06
  6. Step 6: Final answer
    x = 115,709.74

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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.