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Finding the Fourth Proportional to 276,790.84, 415,186.64 and 77,111.80

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Solution

The fourth proportional to 276,790.84, 415,186.64 and 77,111.80 is: 115,667.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,790.84 : 415,186.64 = 77,111.80 : x
  2. Step 2: Convert to fraction form
    276,790.84/415,186.64 = 77,111.80/x
  3. Step 3: Cross multiply
    276,790.84x = 415,186.64 × 77,111.80
  4. Step 4: Simplify right side
    276,790.84x = 32,015,789,146.35
  5. Step 5: Solve for x
    x = 32,015,789,146.35/276,790.84
  6. Step 6: Final answer
    x = 115,667.81

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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.