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Finding the Fourth Proportional to 276,085.86, 414,138.05 and 76,389.53

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Solution

The fourth proportional to 276,085.86, 414,138.05 and 76,389.53 is: 114,586.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,085.86 : 414,138.05 = 76,389.53 : x
  2. Step 2: Convert to fraction form
    276,085.86/414,138.05 = 76,389.53/x
  3. Step 3: Cross multiply
    276,085.86x = 414,138.05 × 76,389.53
  4. Step 4: Simplify right side
    276,085.86x = 31,635,808,541.98
  5. Step 5: Solve for x
    x = 31,635,808,541.98/276,085.86
  6. Step 6: Final answer
    x = 114,586.85

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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.