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Finding the Fourth Proportional to 276,085.12, 414,136.95 and 76,388.80

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Solution

The fourth proportional to 276,085.12, 414,136.95 and 76,388.80 is: 114,585.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,085.12 : 414,136.95 = 76,388.80 : x
  2. Step 2: Convert to fraction form
    276,085.12/414,136.95 = 76,388.80/x
  3. Step 3: Cross multiply
    276,085.12x = 414,136.95 × 76,388.80
  4. Step 4: Simplify right side
    276,085.12x = 31,635,424,646.16
  5. Step 5: Solve for x
    x = 31,635,424,646.16/276,085.12
  6. Step 6: Final answer
    x = 114,585.76

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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.