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Finding the Fourth Proportional to 276,102.52, 414,153.79 and 89,141.56

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Solution

The fourth proportional to 276,102.52, 414,153.79 and 89,141.56 is: 133,712.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,102.52 : 414,153.79 = 89,141.56 : x
  2. Step 2: Convert to fraction form
    276,102.52/414,153.79 = 89,141.56/x
  3. Step 3: Cross multiply
    276,102.52x = 414,153.79 × 89,141.56
  4. Step 4: Simplify right side
    276,102.52x = 36,918,314,920.51
  5. Step 5: Solve for x
    x = 36,918,314,920.51/276,102.52
  6. Step 6: Final answer
    x = 133,712.34

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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.