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Finding the Fourth Proportional to 276,005.80, 414,008.70 and 86,467.75

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Solution

The fourth proportional to 276,005.80, 414,008.70 and 86,467.75 is: 129,701.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,005.80 : 414,008.70 = 86,467.75 : x
  2. Step 2: Convert to fraction form
    276,005.80/414,008.70 = 86,467.75/x
  3. Step 3: Cross multiply
    276,005.80x = 414,008.70 × 86,467.75
  4. Step 4: Simplify right side
    276,005.80x = 35,798,400,769.43
  5. Step 5: Solve for x
    x = 35,798,400,769.43/276,005.80
  6. Step 6: Final answer
    x = 129,701.63

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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.