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Finding the Fourth Proportional to 276,026.81, 414,048.41 and 76,361.91

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Solution

The fourth proportional to 276,026.81, 414,048.41 and 76,361.91 is: 114,545.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,026.81 : 414,048.41 = 76,361.91 : x
  2. Step 2: Convert to fraction form
    276,026.81/414,048.41 = 76,361.91/x
  3. Step 3: Cross multiply
    276,026.81x = 414,048.41 × 76,361.91
  4. Step 4: Simplify right side
    276,026.81x = 31,617,525,771.93
  5. Step 5: Solve for x
    x = 31,617,525,771.93/276,026.81
  6. Step 6: Final answer
    x = 114,545.13

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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.