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Finding the Fourth Proportional to 276,764.84, 415,147.65 and 77,085.80

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Solution

The fourth proportional to 276,764.84, 415,147.65 and 77,085.80 is: 115,628.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,764.84 : 415,147.65 = 77,085.80 : x
  2. Step 2: Convert to fraction form
    276,764.84/415,147.65 = 77,085.80/x
  3. Step 3: Cross multiply
    276,764.84x = 415,147.65 × 77,085.80
  4. Step 4: Simplify right side
    276,764.84x = 32,001,988,718.37
  5. Step 5: Solve for x
    x = 32,001,988,718.37/276,764.84
  6. Step 6: Final answer
    x = 115,628.81

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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.