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Finding the Fourth Proportional to 276,008.38, 414,012.53 and 89,019.88

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Solution

The fourth proportional to 276,008.38, 414,012.53 and 89,019.88 is: 133,529.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,008.38 : 414,012.53 = 89,019.88 : x
  2. Step 2: Convert to fraction form
    276,008.38/414,012.53 = 89,019.88/x
  3. Step 3: Cross multiply
    276,008.38x = 414,012.53 × 89,019.88
  4. Step 4: Simplify right side
    276,008.38x = 36,855,344,926.61
  5. Step 5: Solve for x
    x = 36,855,344,926.61/276,008.38
  6. Step 6: Final answer
    x = 133,529.81

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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.