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Finding the Fourth Proportional to 276,107.04, 414,161.15 and 76,428

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Solution

The fourth proportional to 276,107.04, 414,161.15 and 76,428 is: 114,642.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,107.04 : 414,161.15 = 76,428 : x
  2. Step 2: Convert to fraction form
    276,107.04/414,161.15 = 76,428/x
  3. Step 3: Cross multiply
    276,107.04x = 414,161.15 × 76,428
  4. Step 4: Simplify right side
    276,107.04x = 31,653,507,990.06
  5. Step 5: Solve for x
    x = 31,653,507,990.06/276,107.04
  6. Step 6: Final answer
    x = 114,642.16

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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.