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Finding the Fourth Proportional to 276,009.13, 414,013.66 and 89,020.63

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Solution

The fourth proportional to 276,009.13, 414,013.66 and 89,020.63 is: 133,530.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,009.13 : 414,013.66 = 89,020.63 : x
  2. Step 2: Convert to fraction form
    276,009.13/414,013.66 = 89,020.63/x
  3. Step 3: Cross multiply
    276,009.13x = 414,013.66 × 89,020.63
  4. Step 4: Simplify right side
    276,009.13x = 36,855,755,584.22
  5. Step 5: Solve for x
    x = 36,855,755,584.22/276,009.13
  6. Step 6: Final answer
    x = 133,530.93

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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.