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Finding the Fourth Proportional to 276,041.41, 414,062.21 and 86,516.49

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Solution

The fourth proportional to 276,041.41, 414,062.21 and 86,516.49 is: 129,774.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,041.41 : 414,062.21 = 86,516.49 : x
  2. Step 2: Convert to fraction form
    276,041.41/414,062.21 = 86,516.49/x
  3. Step 3: Cross multiply
    276,041.41x = 414,062.21 × 86,516.49
  4. Step 4: Simplify right side
    276,041.41x = 35,823,207,196.82
  5. Step 5: Solve for x
    x = 35,823,207,196.82/276,041.41
  6. Step 6: Final answer
    x = 129,774.76

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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.